How to Find the Inverse of a Function (NancyPi)
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- Опубліковано 7 лют 2025
- 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
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.
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!
Lord*
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.
@@cefb8923 hell nah. nancy pi is garbage.
I hate khan academy
@@cefb8923 you need to learn it if you want to be an engineer or computer scientist
Her voice makes me feel safe
Nancy's voice is so soothing it makes me understand the topic in question much more easily.
😂😂😭😭
Actually has a hint of sarcasm
@@fredhaynes5847 Therapeutic
This is one of the characteristics of a serial killer (jk)😂
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!
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!
When you have a test in 10 minutes and still don’t understand anything- thank you!
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 :)
Me : why do I want to learn this?
Nancy : I don't know your teacher wants you to do this
Lol😁😁😁
Hahaha
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.
Me too 🤣🤣
ua-cam.com/video/Xq0YEXPwi4Y/v-deo.htmlsi=0hxYCq_t5P8edFaw@@miaulink1152
Teaching math with inverse writing? Who the heck can do that? except you. RESPECT. From PH
Always the best explanation and presentation. NancyPi is the first and only resource needed when my kids need some homework help.
Helpful, she explained in very easy words. I like teachers like that. I’m not very experienced in math.
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!
I am a university student from the State of Palestine and follow your channel first and take advantage of your explanation.
Peace
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
whats the name of the university?
Are u ok? R u still in Palestine??
I hope you are ojay
Thank you so much Nancy. You've really been helpful in my high school days and you still are !
Nancy is a life saver for people with ADHD. She explains it slowly so we can follow along, and I love her for that.
A true savior. Some one I can actually understand
thank you it was very clear with a usable example rather than in other videos. again THANK U
Why you explain so clear..you are saving my life!
THank so much Nancy. You have opened my future in this topic and where you explained about domains. .
Thank you for your videos!!! Its really helping me, I am a part time engineering student.. This really helps me understand maths much better
Your vids are a godsend.
Your videos are the only helpful math videos I have watched! Thank you soo much!
thank you so much for this🥰everything is crystal clear❤
Thank you so much. I am good at math but been out of school for a while. Your explanation excellent.
i think you the best math teacher ever...
Yes
Excellent explanation! Thorough and concise.
Even though i didnt watch it, i'll hit the like button because Math education support by Nancy is what most students need.
You are my best teacher . U make math easier. Thanks a lot
I learn math teacher and still make my English more improved. Daniel Mayo Rio de Janeiro, Brazil 🌹💋👏👏👏👏👏👏👏👏👏
Do u have the coronavirus
The best teacher, I've got the concept 🤓🤓
two seconds ago i fell in love with math
Thank you. This is so good to my son and daughter.
So much better than my maths lecturer.
i am in love with her voice❤️😍❤️
UR VIDEOS ARE THE BEST
I love your teaching skill
I LOVE YOU NANCY
You are the best Nancy!
Sending my love❤❤❤ from Mombasa Kenya 🇰🇪🇰🇪 Nancy 📍
Thank you for all your videos and hard work
Thanks for teaching me how to find the inverse function of any function.
best tutor out there
1 a.m. and i have been studying for my final since 10 a.m when i woke up thanks for the help
wait, let me watch it again, i was too amazed by the way she writes to understand a single thing earlier.
You are great Nancy
Thanks so much for this Ms Nancy 💖
Why am I watching this at 4 AM. Idk
But I learned something though
Hi nancy would love to see more video lectures of yours.
Thanks a lot, you made it so simple.
Like the vidio helped me with precalculus
Math is basic when like you is the one who's teaching
I love u, and u make me love math
Fabulous as usual save hours of reading.
you're a life saver
You deserved a subscribe and likeee 🥺💖
thaaaank you. Ευχαριστώ κούκλα
Fantastic explanation!
Thanks
Thank you!
omg thank you i need this kind of exampleee!!!! thank you
very helpful video, thanks:)
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.
Bio student but still watching for physics
Your the best one nancy
Thanks nancy you really help me 😁🇷🇼
Very helpful. Thank you!
Great clarity.
Thank you for your videos....from Philipinnes
Thanks Nancy you're real asf
Great videos keep up the good work
Thankes you for nancypi
thnk you nancy for making such videos
love from Afghanistan💌
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
This is way better than my lecture wtf
Supposedly inverse functions are useful in wireless communications. It's used to undo the distortions along the transmission. Or something like that.
"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!
@@johnmolokach_staff-southga3529 Ok
Thank you so much it help me a lot
Good video. I had forgotten this stuff.
🎉Thank you so much‼️
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.
Thank you Nancypi..... I have an exam tomorrow
i actually needed this ,3
Smart solution
Thanks 4 your video
I wish she could be my mathematics teacher 😢
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
Thank you very much appreciated😤
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..
This kid is how an angel looks like.
Thank you, NancyPi :D
thanks for the video!!!!
Otherwise love your videos NancyPi
Can you do integration by parts cal 2? Just covered this yesterday and definitely could use a video over that please 😃.
Niceeeee thank you!
I am not sure wether you’re still an active creator but I have a question?
F(x)=x-a ÷ x-b
Find f^-1(x)
I found my answer to be
f^-1(x)= a-xb ÷ 1-x
The textbook, however, shows the x as positive.
Should be (a+bx)/(x-1)
Thank you
Why do you have to switch x and y?
que bella profesora
You could just put the heading as RANGE
thats what we call it in our school👍
Have you ever done a video on the precise definition of a limit?
Good lesson