How to Find the Inverse of a Function (NancyPi)

MIT grad shows how to find the inverse function of any function, if it exists. The inverse function is the reverse of your original function. It undoes whatever your function did. If your function takes x and gives you y, then the inverse function takes that y and gives you back x. Nancy formerly of MathBFF explains the steps.
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How to find inverse functions: There are three steps to finding the inverse function, if it exists. The first step is to replace the f(x) with just the variable y. Second, swap the x and y variables everywhere they appear in the equation. Third, solve for y again so that you have just "y=" on one side of the equation. If this relation is a function, you can then replace the y with the "f inverse x" notation, or f^-1(x). To know if it is a function, use the Vertical Line Test or consider the form of the equation. Remember that in a function equation, for every x you input into the equation, there can only be one corresponding y value. For an example problem, jump to 00:43 in the video.
For more of my math videos for algebra, algebra 2, precalculus, and more, check out: nancypi.com

[@bert221221]

Good lord, respect.
"Why is this important?"
"Great question, I don't know. But screw it, here's an easy explanation that won't require 30 minutes on Khan academy"
Thank you Nancy, much appreciated!

[@ray-annarodney2952]

Lord*

[@cefb8923]

Two things I love in this comment, one, why are we learning any of this crap? (So it can be a wash out course to make people go take liberal arts or business degrees) Awesome! Why learn things that will be useful in our future careers!
Two, NancyPi > KhanAcademy.

[@lalithsasubilli8103]

@@cefb8923 hell nah. nancy pi is garbage.

[@吴英华]

I hate khan academy

[@toastycrystaleclxpse3423]

@@cefb8923 you need to learn it if you want to be an engineer or computer scientist

[@YellinHelenP]

You are so relaxed and clear you are a gift! You take something that induces stress become a calm experience so that learning really begins.

[@Thabang_Kgatla1]

Her voice makes me feel safe

[@fredhaynes5847]

Nancy's voice is so soothing it makes me understand the topic in question much more easily.

[@tunniewunniee]

😂😂😭😭

[@marryuva2415]

Actually has a hint of sarcasm

[@dylanrelatable]

@@fredhaynes5847 Therapeutic

[@K._.200]

This is one of the characteristics of a serial killer (jk)😂

[@Niovo]

omg thank you for starting off with explaining what inverse of a function actually means. Had a hard time understanding what it meant. Great video!

[@somacruz7758]

I have to say this, I was nervous and full of anxiety just by trying and not getting it. I stepped back and took a break but I told myself I can’t give up. So then I found your video on a whim just by trying something. Man you saved me and now I understand, I’m thankful for this video and your help as well as my teachers. Thanks again!

[@raymondwolf_1017]

When you have a test in 10 minutes and still don’t understand anything- thank you!

[@adhilmuhammed9402]

Me : why do I want to learn this?
Nancy : I don't know your teacher wants you to do this
Lol😁😁😁

[@MG-nb1nd]

Hahaha

[@miaulink1152]

Somehow or another it's used (or gone back to) in calculus with derivatives. I'm in a section on it, but since I can't remember how to do inverse stuff, that's why I'm watching the video.

[@lutaayaabdulwahabu7680]

Me too 🤣🤣

[@johnmolokach_staff-southga3529]

ruclips.net/video/Xq0YEXPwi4Y/видео.htmlsi=0hxYCq_t5P8edFaw@@miaulink1152

[@s_patzz8212]

Watching this during Corona-lockdown... I've been reading a lot of popular physics so far and as it's been going well, so i thought to myself i really must get my head around calculus. Knowing that @NancyPi is the absolute best i figured, start at the very beginning of her precalc series. Having watched this first video, i'm happy to report that I am none the wiser and now there is a nerve twitching on the side of my head :)

[@pips_queaky]

Teaching math with inverse writing? Who the heck can do that? except you. RESPECT. From PH

[@davidschmidt5507]

I don't know if anyone will believe me but I actually used this in practice in my life when I was building stuff so thanks for the refresher video!

[@cjpopkes9627]

Always the best explanation and presentation. NancyPi is the first and only resource needed when my kids need some homework help.

[@vive335]

Helpful, she explained in very easy words. I like teachers like that. I’m not very experienced in math.

[@AbdiweliAbshirAhmed]

Thank you so much Nancy. You've really been helpful in my high school days and you still are !

[@EvelynSpeedwagon]

Nancy is a life saver for people with ADHD. She explains it slowly so we can follow along, and I love her for that.

[@ahmadatef1609]

I am a university student from the State of Palestine and follow your channel first and take advantage of your explanation.

[@hidejiohira8004]

Peace

[@rlewis1946]

You are a wise person to seek knowledge from a truly gifted teacher. We wish you the very best in your mathematical studies!
RL Buffalo, NY USA

[@tomdugma1]

whats the name of the university?

[@MinahilFahad128]

Are u ok? R u still in Palestine??

[@voidfulunarxecularity8726]

I hope you are ojay

[@PoeticSonic]

thank you it was very clear with a usable example rather than in other videos. again THANK U

[@Sophia-fc9qn]

A true savior. Some one I can actually understand

[@nathanmclaren8361]

Thank you for your videos!!! Its really helping me, I am a part time engineering student.. This really helps me understand maths much better

[@bilton3183]

THank so much Nancy. You have opened my future in this topic and where you explained about domains. .

[@ed684]

Why you explain so clear..you are saving my life!

[@DanieWise]

Your videos are the only helpful math videos I have watched! Thank you soo much!

[@sayleeraut]

thank you so much for this🥰everything is crystal clear❤

[@Ellen_Moshaga]

i think you the best math teacher ever...

[@geemaroy3701]

Yes

[@isaiahmoss2892]

Thank you so much. I am good at math but been out of school for a while. Your explanation excellent.

[@KitanaiharE]

Your vids are a godsend.

[@syedamanat6241]

Even though i didnt watch it, i'll hit the like button because Math education support by Nancy is what most students need.

[@lutaayaabdulwahabu7680]

The best teacher, I've got the concept 🤓🤓

[@muhammdmahedi3070]

You are my best teacher . U make math easier. Thanks a lot

[@michaelpappas3857]

Excellent explanation! Thorough and concise.

[@seahorseanemone5258]

So much better than my maths lecturer.

[@mics.]

wait, let me watch it again, i was too amazed by the way she writes to understand a single thing earlier.

[@justrightpath]

i am in love with her voice❤️😍❤️

[@valourxzz]

two seconds ago i fell in love with math

[@davidkwon1872]

Thank you. This is so good to my son and daughter.

[@emilymadrigal6372]

I LOVE YOU NANCY

[@chamindasilva7629]

Thanks for teaching me how to find the inverse function of any function.

[@danielmayo1336]

I learn math teacher and still make my English more improved. Daniel Mayo Rio de Janeiro, Brazil 🌹💋👏👏👏👏👏👏👏👏👏

[@jensmalzer6344]

Do u have the coronavirus

[@shadrackokello8228]

Sending my love❤❤❤ from Mombasa Kenya 🇰🇪🇰🇪 Nancy 📍

[@mistermeaty993]

1 a.m. and i have been studying for my final since 10 a.m when i woke up thanks for the help

[@yashrajput9359]

I love your teaching skill

[@hmmm6503]

UR VIDEOS ARE THE BEST

[@kuonkhailechdawech2309]

You are the best Nancy!

[@jenlabonog6415]

Math is basic when like you is the one who's teaching

[@geeklafreak2638]

Thank you for all your videos and hard work

[@KylehasShifts]

best tutor out there

[@kibhab6414]

You are great Nancy

[@runforestrun3556]

Why am I watching this at 4 AM. Idk
But I learned something though

[@haram7359]

I love u, and u make me love math

[@jeramellg1]

Thanks so much for this Ms Nancy 💖

[@anismatar]

One comment about swapping x and y I think people do it so they can later on solve for y as they are used to since y actually represents old x but makes the dealing with equation easier.

[@Dreamb0att-f1f]

you're a life saver

[@shinchananddoraemonlover6278]

Hi nancy would love to see more video lectures of yours.

[@DavidPaulNewtonScott]

Fabulous as usual save hours of reading.

[@rioneeaubreyrevilla3871]

You deserved a subscribe and likeee 🥺💖

[@gyannyyeboah9453]

Thanks a lot, you made it so simple.

[@jamgamer]

This is way better than my lecture wtf

[@JoeGuy-z7r]

Thanks Nancy you're real asf

[@SuperYoonHo]

Thank you!

[@oliyana9924]

Your the best one nancy

[@shreyashkashyap]

Anyone else thinking about how she is writing everything in reverse because the glass is before her. It's like she is teaching inverse of a function by writing in inverse

[@frs535]

Fantastic explanation!

[@edwardmulenga7783]

Thank you Nancypi..... I have an exam tomorrow

[@monzirmohamed6878]

Like the vidio helped me with precalculus

[@FeliciteMnkusi]

Thanks nancy you really help me 😁🇷🇼

[@IlaizaMendoza]

omg thank you i need this kind of exampleee!!!! thank you

[@queenanne2367]

Great video! this helped me a lot, doing some review just to be ready for my online classes. I'm a stem student btw hueeeee idk why i chose this. byeee engineering here i go jk

[@ayaanbhaii]

Bio student but still watching for physics

[@Erowens98]

Supposedly inverse functions are useful in wireless communications. It's used to undo the distortions along the transmission. Or something like that.

[@johnmolokach_staff-southga3529]

"why would you want to..." "because your teacher wants you to" is really the only disappointing part of this video. A missed opportunity to talk about hoards of things, reverse engineering, curing cancer, too many to list! I had figured an MIT grad should not have been so dismissive about the topic she was teaching!

[@jah_141]

@@johnmolokach_staff-southga3529 Ok

[@DeepakJain-tg3il]

Thanks

[@con-0310]

very helpful video, thanks:)

[@camurgo]

Good video. I had forgotten this stuff.

[@justjacqueline2004]

Great clarity.

[@siqueirasebastiao6973]

Thankes you for nancypi

[@saloni6590]

This kid is how an angel looks like.

[@thomasdestry5188]

🎉Thank you so much‼️

[@shanemiller8643]

We might want to do this if we remember how to convert, let's say from Celsius to Fahrenheit, but want to convert Fahrenheit to Celsius.

[@ckmc05]

Thank you for your videos....from Philipinnes

[@davidramrod7610]

Very helpful. Thank you!

[@edreeshamidi2090]

thnk you nancy for making such videos
love from Afghanistan💌

[@kushpatel8199]

i actually needed this ,3

[@isidorosargyroudis4128]

thaaaank you. Ευχαριστώ κούκλα

[@ronramnarinesingh5590]

Great videos keep up the good work

[@TheRuffusMD]

i took PRE-Calc in high school and had a very BAD attitude about it...I thought they should have been teaching Calculus in High school. my friend in Florida was taking calculus at his high school , thus i thought this class was like a place holder , a nothing class because the school teacher could not teach calculus because he was too dumb or something .. i felt like i was in a remedial class... BUT THE FACT IS..... this class forms the basis for A LOT OF CALCULUS and when you factor out calculus equations , you have to know the steps you learn in PRE CLAC...I just wish my teacher would have told me this .. thus I want everyone who is learning this , learn this as well as you are able , it will make Calculus a breeze .... I took two years of Calculus and I was always thank full for my GREAT math teachers in high school..

[@lealdeadonisjason5616]

Thank you so much it help me a lot

[@laishamarquez2194]

I understand her better than my high school algebra teacher lol

[@kiohkygo1259]

make more videos !
school is hard

[@rahmayiga1101]

Thanks 4 your video

[@matthewantrim3472]

Thank you

[@NJCC2011]

Thank you, NancyPi :D

[@sergihassan1749]

If she was my maths teacher I won't skip a single class😚

[@Mr_Catt_555]

Sergi hassan 😂🤣😂

[@AdamRayment1]

Perv

[@CarlyDayDay]

Have you ever done a video on the precise definition of a limit?

[@metalmanny0000]

Can you do integration by parts cal 2? Just covered this yesterday and definitely could use a video over that please 😃.

[@musabbirarham2954]

I wish she could be my mathematics teacher 😢

[@SanatanEdits334]

for few seconds.. i thought arrreee ye hwa me likh rhi h 😂😂

[@unquestioned-dose2814]

😆😆

[@chrissamm7259]

This is how teacher's ought to be

[@nishit1873]

You could just put the heading as RANGE
thats what we call it in our school👍

[@hamsack981]

Make linear algebra vids please. Thanks Nancy!

[@juanvelasquez9114]

que bella profesora

[@aryamansarkar]

nice video maam love it

[@mubaarigkoosaar9150]

Good lesson