# How to Find the Domain of Any Function (NancyPi)

404,567
Published on May 15, 2018 by

For Domain, you just need to watch out for Square Roots and/or Fractions!

1) a POLYNOMIAL (no square roots or fractions), i.e. f(x) = x^2 + 3x + 1, domain is "all real numbers."

2) a FRACTION (w/ no square root), i.e. f(x) = (2x+1)/(x^2+5x+6). Set bottom "not equal" to zero. Solve for x.

3) a SQUARE ROOT (w/ no fraction), i.e. f(x) = sqrt(x+1). Set part under root "greater than or equal to zero".

4) a FRACTION w/ A SQUARE ROOT ON BOTTOM, i.e. f(x) = (x^2+2x+3)/(sqrt(x+1)). Set part under root "greater than zero." Solve the inequality. NOTE THE DIFFERENCE: You must set it greater than zero, not "greater than OR EQUAL TO zero" because we can't have zero (or square root of zero) in the denominator.

5) a FRACTION w/ A SQUARE ROOT ON TOP, i.e. f(x) = (sqrt(x+1))/(x^2+4), i) Set the bottom "not equal to" zero & solve; ii) Set what's under the root "greater than or equal to zero" & solve; iii) Take intersection of your two solutions.

For more of my math videos, check out: http://nancypi.com

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• First like!

• Thanks! Alot

• Thanks ❤️

• Marry me and do my math for the rest of our lives.

• James Dashwood
So what I have figured out is, u have a problem with short forms, and u like to hit on teachers. End of convo

• This was hilarious, actually.

• Im so confused on what was being argued

• @SoosUnknown sounds like james has a problem and it doesnt involve math lol

• @James Dashwood TRIGGERED NORRRRMIEEEEEEEEEEE REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

• Fantastic Nancy is BAACK!

• “You don’t have to like math… but you can like my video.”
Smooth. I like it. 👍🏻

• I actually like math, and I still liked the video.

• daniel gallen 🤣🤣🤣🤣🤣i was laughing so hard in tht part .. she has some humour 🤣

• Nice Video clip! Sorry for chiming in, I am interested in your thoughts. Have you heard about – Nanmily Domain Demythification (should be on google have a look)? It is a smashing exclusive guide for finding success and profit using this online traffic source without the headache. Ive heard some awesome things about it and my mate after many years got excellent results with it.

• I love this channel, an intelligent and also attractive woman showing me how to do math 🙂

• I have to disagree with you Daniel, she is not attractive, she is mesmerizing. I have no idea what she said after “Hi!”, but I watched the video 5 times and still can’t remember what she said.

• Ya’ll are so thirsty.

• Just take the damn lesson

• Do i need to check for 0 ^ 0 in any way??pls answer.

• You looks like my ex.

• Awesome!

• nancy is fancy

• I’m so glad I found your new channel!! love you Nancy!! you’re the math MVP!

• #fantasticonancypiereturn

• What should I do if there’s a quadratic on both numerator and denominator?

• It is the same first example explained by Nancy. It Doesn’t matter the numerator. The restriction is made by denominator because if it’s equal to zero, the expression becomes undetermined. I hope to be clear enough.

• How do you find the range of a rational function whose numerator and denominator are in quadratic form? Ulises Castro

• Hi Jefferson. As I said before the funtion is restricted only by denominator. What is the range in a simple polynomial function?

• Hi Nancy.
I believe videos like this is the main reason why so many students are failing math tests, and the internet is full of these. And of course the fault is not only from the creators since we all want to be popular and have views and subscriptions and we have to produce videos that students find “easy” to follow. That is exactly the biggest trap for students, because their exams are much more difficult and complicated that these examples and of course by the time they realize that it is too late. I think the first and most important part the student has to learn is a comprehensive methodology on how to approach any problem in the topic.
Thanks

• Well, I don’t want to learn new concepts with a long overly complicated problem. So don’t hate.

• First of all I don’t hate. And second I don’t think you understood my comment. I didn’t write anywhere that you have to start a new topic with a complicated example. I just say that an introduction to a new concept should start with a general approach of solving any problem in the topic and not with an example (complicated or not).

• Montreal Mathematics and Physics Tutoring
I understand what ure saying. A lot of math videos on youtube are just basic solving problem of the topics. During exam, the question is beyond that. The great videos to watch is i think solving past exam papers.

• dude come on i know your upset because now people are coming here and not to the real tutor . this girl has the best videos and the only reason i am passing math right now. BACK OFF

• stop hatin on her

• Fantastic 😍

• and for logarithmic function?

• Thank you very much. It helps me a lot😁

• Nice mam

• Why is Nancy that sad, have some happiness in life

• I’M SAYING. She looks like she’s about to cry

• Umm. I have a question. How to find the domain if the expression is x^2 + y^2 = 1?

• for trigonometric function and log ????

• NANCYPI? haha cute <3

• Can you make a video of “how to find the range of any function”?

• I mean u can inverse the function and then find the domain of that.. That will be the range of f(x) function…

• @TheHardTruth yes thank you

• Great video !!

• Very well explained but how about range?

• ikr wala akong mahanap na vid nya about range. loved her vid tho

• Very hot

• Useful 100%

• On the square root only section you have X^2 + 5X + 6. That factors into (X +3)(X + 2). Now you only flip an inequality sign when you divide or multiply by a negative number, which this problem doesn’t require. So you end up with: X >= -3 or X >= -2. So I don’t understand how you got X <= -3.

• it go me worried too, u are right

• you equate both equation by zero and solve forx, that’s how you can get the values

• Exactly what i was thinking too

• She is correct. Plot a graph of y = x^2 + 5x + 6 and you will see it cuts the x-axis at -2 and -3. Since we are dealing with >= 0, we need to see where the graph is above the x-axis. The graph is always above the x-axis when x<=-3 and x>=-2. Hope this helps 🙂

• Hmmm…. Same problem

• How do you find the range of a rational function whose numerator and denominator are in quadratic form?

• Thank you for posting this video. I was studying this subject on Khan Academy, and when I did not understand, Sal went to fast for me. You go at the perfect pace so I can absorb everything.

• You are really cool and sexy

• But how do you solve questions with cube root?

• How about finding the Range?

• ur th e best teach erh n EVERSL!!!!!!!!!!!!!!!!!!!1 :Dddddddd

• math bff

• Love you Nancy! You saved me from stupit college placement!

• I love her pink whiteboard pen …lmao ❤

• Thank you so much, this helped a lot. I stayed up all night trying to find an answer to finding the domain of a function.

• hi nancy love you

• Thankyou

• ohh now that i have learned this topic from you i am gonna make my friends beg me to teach them…love you so much for teaching me this

• oh God ,Thats why i was always confused in finding domain,even did not attempt the question in exam…though i got the idea,but still stumbling.

• Miss Nancy ,really are you sure about second problem solution of 3rd type (Square root )….i m confused about why -2 remain at greater than or equal while -3 become lessthan or equal …like how ??? any body else can …

• I think am confused of your solving maths

• Rajeev Kumar
Here she solved them briefly. You should check other video for more details on how she get this and that.

• Can you also do a video on how you find range of any function?

• Plsssss

• 😭😭😭😭😭

• I need a video on range I don’t get it, I guess you could go the inverse of domain and then obtain the range however I’m sure there is an easier way

• why theres no negative examples? its always positiveee. should i contrary?

• someone prove she isn’t a robot

• Awesome

• Very simple way of explaining. Thanks!

• You hand looks weird in the thumbnail.

• now i need the range

• Does she writes in mirror image

• Love you Nancy! Your my number 1 math guru 🙂

• 2-x=0?

• What if you have a cubed root on the bottom? Like if it’s 1/ x³+x

• Set the radicand > 0 and solve. So x(x^2 + 1) > 0, critical value is only 0 since x^2 + 1 is always positive. So x > 0 is domain.

• Thank you way better then all those old videos!

• Can you also do a video of how to find the range would help a lot

• Is she writing on a mirror???

• “]” would go after infinty because infinity is not a number

• this… this… this is talent… writing backwords??? this girl deserves a noble peace prize

• @Ameena no you are dumb. she writes with her right hand then flips the image

• Have you guys never heard of learning glass

• @Pranamya Pradeep THAT EXPLAINS IT!!!! Thank you!!

• @Ameena you’re welcome!

• Im crying 💀😭😭😭

• My wife 😍

• Pls make video of finding the range pls pls pls pls nancy mam

• I like how she does not babble and erase. Her vid is thought-out and straight to the point.

• perfectly paced video, doesn’t take too long to talk about everything and very informative

• Fantastic and amazing you’re method

• I love how she can do math backwards and write backwards she really deserves a price, also your video helped me out a lot. Keep the good work going. (2k18 september anyone)

• Divine Wolf the video is flipped she is actually writing backwards…

• I wish my high school pre-calc teacher made it this clear…now I get it!

• My savior

• Like if you’re here from ms. Upsher 😩

• I CRUSH ON THIS MATHS TEACHER!

• Can someone help me at 5:49 minute, she says you need it to be greater than or equal to 0. So let’s say I have x-3 under the square root would it still have to be greater than or equal to 0? Or would i have to add x-3=0 x > or equal to 3 ? Because under the square root line I have x – 3 instead of x + 3

• RANGE OF A FUNCTION PLS HELP

• RANGE PLS

• RANGE

• RANGEEE

• NANCY PLSS

• CAN YOU PLS HELP ME WITH THE RANGE, I AM HAVING A HARD TIME WITH IT

• My exams due tomorrow lol

• just inverse the function (let function=y method) and find the domain of the inverse, because domain of f(x) inverse= range of f(x) and vice versa.

• @YouKilled MySon could you maybe link a video or article explaining how to do that?

• @YouKilled MySon so you take the inverse functions domain and I that is the normal functions? And the function must be one to one?

• @Anirudh yeah

• PLSSS I NEED YOUR HELPPPP

• FINDING THE RANGE OF A FUNCTION PLSS

• NANCY 🙁 PLS

• WERE WAITING

• NOTICE MEE PLSSS

• RANGE OF A FUNCTION PLS

• CAN YOU PLS HELP MEE

• RANGE OF A FUNCTION

• E

• G

• N

• A

• R

• S

• L

• P

• RANGE OF A FUCTION PLSS

• Nancy, I don’t like your videos, I love them, and you even more. I clicked on the Like, and Subscribe buttons, but for the life of me, I cannot find the marry button.

• most math teachers arent attractive as you are

• I HAVE A 19 AVERAGE IN PRECALCULUS AND YOUTUBE IS WHATS GONNA SAVE ME YESSSS BLESS YOU KIND WOMAN

• You’re amazing teacher

• ? How do you find the algebraic range

• Wow she’s way more comprehensive than my maths tutor

• Haaah! Big thanks Ma

• u are great really. I love your method of teaching. love u dear so……….. much

• Very nice

• OMGGGGG I’ve been trying to understand domain since the beginning of the year thank youuuuuu ❤️

• How much can I thank you 👏👏👏👍

• U So cute I’m actually interested 😂

• how about f(x)=x^2 – 9? what should i do?

• Thanks alot mam this video really help me alot.hope to learn more from you

• Love u nancy been watching ur vids since 2015

• Literally all my math makes sense now

• 1x^2+4/√(4-x^2)
This is function come with my first exam in my faculty

• Eslam Saeed
Domain is (-2, 2)

• Unfortunately, the problem with this video is that you used x+1 through the entire process of square root functions, I didn’t learn anything because you showed me how x+1 has to be greater than or equal to 0 three times. Next time you can use a more complex square root function? Besides that great video.

• You’re awesome!

• You’re a Prophet, praise the Number Gods

• wait, why was X^2 all real numbers? was it because of the square?
anyone?

• definitely mirrored

• the times i screamed “I love you” after finishing one of your videos are just creapy 😂😂😂😂

• You made this so easy, thank you so much 😭

• I like how she broke up the different types of questions we can get

• Here from India 😜

• Well Explain

• You’re left handed.

• and

• left hander!

• Life saver! Thank yooooooooooooooooou!

• ASMR

• Good!

• Can u teach us how to do our taxes

• 7:48 how is x less than or equal to -3 ???

• X is squared

• i did pq formel and only got +- -2.5 did i use wrong way to solve the equation

• IDK if im late but when you solve the problem, you get (x+3)(x+2), then you solve for X for each one, x+3 = 0 —–> x = -3, x+2 = 0 ——> x= -2.

• you’re hot.

• The video is so well explained

• Dang, it is so hard writing back words

• You are god…..

• I’m going to fail.

• i like the way you explain it but it’s not really interesting, your tone of voice. this video helped me though.

• This here in Algeria a 9 grade student can solve that so easily

• Ihab Ayoub too bad ur still in algeria

• For the last problem, can’t the denominator also be written as x^2-4 > 0 ? Surely it can be divided by a number greater than 0.

• you look so tired and sad in this video, is everything alright? i still think its great despite your seemingly bad mood, and you helped me a lot!

• 1.25 video speed recommended.

• How do I find your domain?

• Can you make a video on how to find absolute minima and maxima and local maxima and minima

• Thank Nancypi you have solve my puzzle

• Your video really helped thank you

• NancyPi after watching your videos i started liking math !!

• i love you

• So nice I love all your videos can you make videos on suites

• Nice explanation with all sort of minors

• I really like the way that you teach would you please make a video for Graph function I would really appreciate it Thank You

• Thank you so much God will bless you

• Thank u ….

• I like the video but am not convinced with the function 2/x^2 + 3

• Thanks Nancy

• So we’re just going to ignore the fact that she’s writing backwards??

• Among all courses and videos of how to get the domain of a function yours is the best and the most clear and accurate one. Only because you justified that functions are divided into 5 types (Polynomial, fractions…etc)

I really do thank you very much for being clear and precise while explaining math 3>
keep up the good work Nancy

• Thank you so much for posting these videos Nancy- they are very helpful, and you do a great job presenting them. I used to have a YouTube channel where I would present weekly in front of the camera. The nerves can take over as soon as the red light is on. Keep it up!!

• Thank you 😊❤️❤️❤️

• This literally saved me for my quiz tommorow

• I like math and your videos.

• How can anyone click thumb down? Please be decent, Nancy videos are fantastic if you want to learn. I’ve been watching her videos for years.

• this is awesome…i have addded this to my playlist being that I have looked at it for 5 different problems

• I appreciate this video..though, I thought I was following the steps just as in the video…but, still managed to bomb my homework questions…

• bruh i couldnt even focus lmao

• she is really pretty.

• simp

• simp

• you know your life is going downhill when you simp for a math teacher: bringer of pain.

• @Mariam Hagh lmaooooo

• Love your videos. Nicely done. Thank you!

• your videos helped me alot thanks nancy. I grew a crush on you as well

• Does she write everything in reverse?

• how to find the range

• Thank you Nancy. I have watched many videos and yours has really clarified solving for the domain.

• I love your math help thx Nancy

• hot math teacher actually makes me better

• Hi my name is dea, I was wondering how do you find the domain for exponential functions?

• is it all real numbers?

• I love you jaan

• do you write backwards or just flip the video ?

• Thanks for the help ,everything is broken down into consumable pieces thanks for doing such a wonderful wonderful job…Hope to learn even More as time goes on Thanks a load.

• Awesome, thanks very much!

• she’s hot asf

• Holy crap is she writing everything backwards on the glass? That’s really impressive!

• Any one else use these videos to fall asleep?

• You know what’s worst than studying math 😭😭studying math in chinese 😭😭

• thank you. really needed this. keep doing what you’re doing!

• 😍 you teach i love math hehe

• You are THEEE best

• I didn’t just like the video. I loved it. Thank you.

• Maybe its just my narccisism, but i feel like shes flirting with me

• She doesn’t write it backwards. She inverts the video after shooting it.
It’s that simple. Why are so many people baffled!

• fit

• i like math

• Teacher in the example of sqr(x^2 + 5x + 6) you make mistake in writing the domain it must be x greater than or equal to 0 thank you

• no. She’s right. It can’t be equal to zero.

• SHES RIGHT SHUTUP

• You are better than my math lecturer. God bless you. This is my best class room

• I love the math because of this woman!

• The akward stare after the problems crack me up.

• Using this to review for my precalc 1 exam tomorrow wish me luck

• Hope you aced it

• Same

• I got a 91/100

• @RubiMercuri wow Rubi tell me the secret am really bad at math

• love you

• thanks! I loooove you

• I don’t think math has ever sounded so hot

• Wow amazing nancy
Have fallen in love

• Thank you so much! This is the most straightforward and helpful video I have found on this topic.

• 44 seconds in, and I already understand better then my teacher or text-book has been able to outline! Thank you so much!

• Is the domain and “maximal domain” the same thing?

• For God’s sake people, she is not writing backward.
She writes normally and then the video is flipped with some software.
EZ, GG.

• why did you say EZ GG please stop

• @Devon Scoles maybe he is a toxic and a friendly guy xd

• Hii you explain that pretty gud

• U r hot

• you look like cole sprouse

• Thank you Nancy!

• You let me understand the basic MATHEMATICS that I can’t understand before thank youso much

• I haven’t understand any thing

• Hottest maths teacher

• Best video I have found on Youtube on Domain!

• Wait she is writing in mirror?????

• I don’t understand on the FRACTION ONLY why was the domain all real numbers. it can’t equal -3 but then it can’t equal -2 or -1 either? confusedddd

• NICOLE CASTRO DIAZ tht coz the variable was in terms of square and u cannot hv -ve inside the swamp root so we hv to assume that the domain is all Real nos

• Thanks

• Hi Nancy… 👍

• Thanks, like, sincerely. Damn this is so useful. This makes more sense than my class

• Can you do more better than that because i knew all these function . i think you have to add more function like log,ln,modulus

• If you have knowledge so plz solve x^2-x+1/x^2+x+1 range solve

• Can u solve this question domain and also range g(x) =|x_3|

• If she didn’t make her math videos, i would fail my math class. she’s a saint.

• I like ya

• What about logarithm function and it’s domain

• Fantastically organized and straight to the point video, thank you

• Find the domain and range of f(X)=X|X|

• Beauty helps me study. That is why I study using Nancy’s video.. And I don’t watch any other math video who a guy is teaching because Math guys teachers are assholes! and difficult to understand!!

• Does the domain only focus on denominators???

• Maths has never been so beautiful 😍😍

• THANK YOU!!

• Thank you. Simple and made me actually pay attention. Kudos to you!!

• there’s a mistake, anyone noticed?

• Is it the greater than or equal to negative 2?

• Outstanding Nancy, thanks so much. -Mary

• Why is it that all nancy are beautiful? nancypi, nancymcdoney, and nancy binay.

• Why are you so nervous

• I watched kahn academy 5 times and nothing helped this makes so much more sense thanks

• Khan academy is hit or miss sometimes with their guides

• To find the domain of the function: look at the A in the symbol f : A -> B

• How do you write backwards?

• Thank you!!!!

• she’s too hot I cant focus…

• How to find range please ? huhu… best teacher in youtube <3

• You don’t have to like math … But you can like my video.

Me: i like you

• Swamp

• @Abdulrahman N. Swamp

• @5:03 why is the domain negative infinite to positive infinity, wouldn’t it be negative infinity to negative 3??NEED HELP UNDERSTANDING WHY ITS TO POSITIVE INFINITY

• there’s no x value that would ever make -3 happen when you square it. because when you square any negative or positive number it would always end up as a positive number. that’s why she said -3 would never be possible in that equation so you don’t need to worry about it or include it. that being said, any real numbers, negative and positive, can be a function of x in this equation. you can input any number and it would still generate as a function of x. that’s why she wrote (-infinity, infinity). hope that helps. 🙂

• THANK YOU SO MUCH. nowhere else in any textbook or internet explained finding the domain as well as you have.

• You did a great. It’s so benefit to me.

• Great video, thanks a lot, this really helped me with my functions!

• Thank you so much!! I get it now lol

• thanks for the video…really helped

• Wow what a great video 😍.
Everything in just small video superb🤗.

• daaaaaaaang she fine affff… dat voice tho geeez

• How to find range make video on that also fast🏃⛷️

• Nancy your too attractive for me to actually learn anything from what your saying.

• Thank you for making my life easier! Lol teachers really tend to make it complicated -_- smh. Btw i love your voice❤

• Can you do a video like this but on the range

• Give yourself a hug cause you rule!

• hello, thank you for the service i would like you to help me with sketching the absolute values of functions

• holy FUCK this girl is hot

• I love when random people on YouTube are better teachers than people with >masters degrees. I bet it was great back in the day when teaching was a revered career.

• Your beauty disturbed me ;p

• Thankkkkkk youuuuu

• on of the best explanation ever and i just love you

• When would I know to put a bracket or a parenthesis

• if it is solid or hollow

• THANK YOU SO MUCH!

• Hi

• Just wanted to let you know that this was very helpful 🙂

• Brilliant

• She made a mistake in square root of X^2+5x+6 coz inequality flip in value of 3.

• yeah i’ve been looking for that comment. so, it could be “x greater than -3 and -2” , isnt it ?

• the coolest finishing statement,dont have to like math….

• Her backwards handwriting is better than my handwriting at 1 wpm

• I’ve had TWO different teachers explain this to me and nothing, I tried khan academy and nothing. But you is a blessing because I understand every. Single. Word.

• Hi I’m gonna need help more Thank grateful for helping but need more help

• very difficult to focus on question

• how r u writing backwards

• You are sexy as fuck

• Wow I have never enjoyed math this much. You are so calm

• thankyou

• also thanks for the description of video

• Why is she kinda mad in this video?🤔

• Beautiful video and gorgeous face

• What if you have a root inside the root

• Excuse me ! May i go to Washroom 🖐🏻

• Maam are you writing on screen of the cam 😵🤦🏻‍♂️

• You are a great teacher ❤️ thanks for your effort

• yo thanks for the explanation, I have finals this Friday this really gonna help me out

• You are a life saver❤️

Me: Yes. I am indeed. Because there are some really good teachers on youtube who deserve respect.

• This video was a great help & now problems’ solved

• You remind me of Violet from the Incredibles.

• OMG Im so happy she made a video on this!

• Thank you so much. God bless you

• Be careful with the numbers included and not included accordingly apply the brackets

• How the hell can a 10 minute video on Youtube literally be more educational than a 3 hour math class, taught by someone who has done it for years. We need to replace teachers with youtubers.

• Please make a video on “how to find range of any function”. I absolutely need this!
And thank you for the video! You are an excellent teacher.
Liked, Subscribed!

• I think all you have to do is find the domain of the function’s inverse, so if you know the inverse, than you can find the function’s range.

• Dear Mam, Tomorrow morning is my math exam (first term). I took my math teacher consultant hour also 3 extra class about domain and range but more than 60% student did not understand this term. after watching this video i totally understand how to find Domain. but i still do not understand how to find Range.
Would you please make second video like this about How to Find the Range?

• Honestly, you are really saving my non-mathematical bottom part. Thank you! 😀

• 🌿🍀🌿🍀🌿🍀🌿🍀🌿🍀🌿🍀🌿

• Barely noticed that if you write on anything transparent like her glass or plastic the reflection on a mirror or flipped video comes out the same because it’s the back side of the writing, pretty cool… and something about the domain of fractions I think?

• Why couldn’t my teacher just explain it like this?! Thank you 🙂

• Her videos were very useful for me and now I can help other people with their algebra

• I searched for lie derivative—but this is much better

• You are absolutely gorgeous

• Does this works for inverse function and composite function？HELPPP！

• Girl this does not help at all. You people come on here calling yourself helping but you aren’t be clear about how or why you are making the solutions. I need to know why you got the (-3) and so on.

• You didn’t have to have like maths but can like my video 😂👍🏿

• Make on range too plz

• why cant i still understand it!!! how my teachers explains are different from this.the examples they give is so damn hard. but the way she teaches makes it easy!!!! but i still cant understand it!! im so stupid.

• Candy, I don’t know you but I know you are not stupid. There are so many ways to explain topics in math. There is a way, and probably more than one, that will work for you. Hang in there and believe in yourself!

• Good content

• Thankyou so much mam i dont know how to thank you, i didnt knew this topic and tuesday is my cbse exam , lots of thanks from india

• You dont have to like Math…but you can go on a Date with me and like it

• Thank you very much. Your skill is amazing.

• Hey Nancy! Can you do a video for logarithms?

• This was amazing. Way to go! Learnt in an better way to solve the domain

• You are the best, as a first year medical student this helped me more than my lecturer, its for 2018 but still useful in 2020. You are keeping me busy during this corona lockdown. May God bless you with more wisdom to share with us more.

• wait i have a question; for (x^2) + 3 can’t you use an imaginary number or nah?

• u r very s…….,.

• Thanks for the video, it makes sense to me now.

• Very beuatiful miss😊♥

• Gorgeous and intelligent at the same time. Absolute goals. Thank you so much for the video. I’ve been trying to learn for weeks lol

• your hair are looking amazing

• cant concentrate, shes too beautiful

• You’re really beautifull ma’am. I always watch your video tuturial. It really helps me a lot 👍 thanks a lot 😊 much appreciated 👍

-from philippines

• Do anyone knows about srinivas ramanujan:the man who knows infinity

• Thanks for helping me to get that one easier♥️

• I watched my 2hr lecture twice and didnt get it. I watched 1 minute of this and thought “wtf this is easy” THANK YOU SO MUCH

• This video is literally exactly what I needed.
It’s simple yet detailed which I really appreciate.
Only thing that’s missing is domain of exponentials but other than that it’s pretty much perfect

• thanks mam

• Can you add videos on Linear Algebra – Eigen/ SVD/PCA etc

• at 5:07 Can’t it be x= phi because it is not possible to have x^2=-3 so thre muist be no solution to it then how could we write it Real (-infibity,infinity) ??? Pls clear my doubt?

• YAS WE STAN OUR MATHEMATICAL QUEEN

• Thank you so much teacher lots of love u made learning super easy pls help others like this with much higher contents in an easy way infact u should charge for a course online u deserve it absolutely brilliant work 💖😍🌷🌷

• Why can’t there be a value for the square root of 3 , don’t we get a value in decimals ??

• You’re very pretty.

• What if both numerator and denominator has square root?

• please explain logarithmic function , and for question i would suggest suggest to mix radical function at bottom and you can mix trigonometric functions for fun , that would be great and please give a complementary question on napier’s constant which should not be easy to solve, and do suggest to find range of them , and please make videos on these topic as soon as possible

• Thank you very much ❤❤

• hey😉u got new indian subscriber

• best video I’ve encountered so far on explaining finding domain…thank you

• Nancy your the best 🙌

• Enough information u can get here
Interesting method of teaching thanks

• 👏👏👏👏👏👏👍👍👍

• Nice teaching

• on 7:52 the sign of less or equal is not right

• i have a question idk if you’ll see this but for the “square root only” the 2nd example,, how do you know when to switch the inequality signs…. i was just confused about that BUT THANK YOUUU

• When solving an inequality with a quadratic equation like that that will give you two values, you have about 4 ranges, say, x greater than-2 and, x less than -2 and same for -3
Try and draw all four on a chart and see which two will give a wider range

• Not gonna lie, I already knew the concept… 😉