How To Find The Inverse of a Function

This algebra 2 and precalculus video tutorial explains how to find the inverse of a function using a very simple process. First, replace f(x) with y. Next, switch x with y. Finally, solve for the y variable and that's it. This video contains examples and practice problems that include fractions, radicals, square roots, cube roots, linear functions, and cubic functions.
Full-Length Math & Science Videos:
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Introduction to Functions:
• Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum and Minimum Values:
• Identifying The Relati...
Domain and Range From a Graph:
• Domain and Range of a ...
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Average Rate of Change of a Function:
• Average Rate of Change...
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Evaluating Composite Functions - Data Table:
• How To Evaluate Compos...
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How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - One to One Functions:
• Horizontal Line Test a...
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite Functions and Inverse Functions:
• Composite Functions an...
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Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Practice Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
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Final Exams and Video Playlists:
www.video-tutor.net/

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/bILEnpqJhdWloKM Functions and Graphs: kzbin.info/www/bejne/kIWop2uFo6yUrtE Transformations of Functions: kzbin.info/www/bejne/qqq0faNsrZJ6pbc Graphing Polynomial Functions: kzbin.info/www/bejne/qICylpmaprKpqqM

[@charlesangelob.sabinay8393]

Is this function inverse, sir? f^-1(x)=3√x? Thanks again sir

[@ifgosdjjhgjiuzahgiuwgr4137]

I have a question. Is the second example an Inverse function? Shouldn't it be one to one function only?

[@Ian-dq1tl]

@@ifgosdjjhgjiuzahgiuwgr4137 sometimes when you inverse a function, the inversed graph is no longer a function, take y=x^2 for example

[@slasher298]

you just explained in 2 minutes what my math teacher failed to in 2 hours.. thank you

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THEN WHY AM I REWATCHING THIS 10 TIMES AND STILL DONT UNDERSTAND WHAT KIND OF BRAIN DO I HAVE 😭😭😭🙄

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Struggled with these kinds of equations for 2 years, 2 YEARS. Thanks for making this explanation easy to follow and nicely placed out. 👍

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Same.

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Feeling when u get to college and gotta take a precalc review and u don’t remember shit

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omg thank you for all of the great examples and not just leaving us with one trash problem while walking away with the middle finger and saying good luck 😭

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Ratio

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[@shasiqbal6166]

I have seen so many videos of inverse functions but I understood yours the best thank you.

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[@navia810]

Is there a order to how you arrange after cross multiplying? Cuz i just crossed multiplied, got the exact same answer but with inverted symbols. (Last problem)

[@natew4611]

same here, idk what it is

[@natew4611]

nvm, its nothing to worry about because both functions are the same.

[@jertmasangkay7890]

So all of us here have bad math teacher huh

[@vishanevers]

No we don't all have a bad Math teacher. Mine js great! I just can't be bothered to search through the long recordings of the lecture and go through people asking questions throughout. That takes too much time

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I'm from Brazil, I learned a lot more from your explanation than from my teacher; I really enjoyed the class.

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After 5 years this video still helping, thank you so much!!!

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The amount of trig teachers who dont know how to teach and the people here are both amazing and sad as hell.

[@eljohnthefam]

Do u have a video of graphing inverse function?

[@evidence7338]

Plug in random x values once you solve it and graph it like you would graph a regular function.

[@browhotfisnoor6650]

Literally thank you so much, I understood in 5 min, and my teacher couldn’t explain in it in a whole hour, thankss

[@_No_Naem_]

Usually I wouldn't be watching these videos since I understand in class, but online classes are burning me out, which made me go here. My previous year's math teacher attaches your videos for us to learn our lessons in advanced. This year, my current teacher only just does lectures and sends us PowerPoint copies of the lectures (not saying that it's wrong, because that's my current teacher's teaching style). Like I said earlier, I usually understand the lessons once discussed, but online class burn out didn't make me listen to class at all, or motivated or keep me focused. And that burn out brought me back here. I would like to sat the videos may be simple, but I find it entertaining with how simple it is. Anyways, I better stop typing this comment before I distract myself from this lesson since my homework for this is due for today!

[@harshnarayan7656]

Ah yes the organic chemistry is strong in this one

[@thomas9152]

After the military I decided I wanted to go to college. I'm in my late 20s in remedial math. I thought I was going to major in CS. Although I have an A in my last remedial class, I think I'm too dumb to continue in CS. I'll be switching my major to something in the humanities. Sometimes my math homework makes me want to cry. I'm done trying to force something that I'm just not very good at. I'm always the top student in my liberal arts classes. I guess I'll stick to what I'm just naturally good at.

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Alex Ledesma wishing you luck. I sympathize with your struggle in math. I find math beautiful and fascinating but cannot manage to be good at it.

[@explosiveelephant8083]

what's CS

[@icesnowflake5510]

Explosive Elephant It stands for computer science.

[@explosiveelephant8083]

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[@icesnowflake5510]

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[@AntoinetteJean]

Thank you! If I could give this video a 1000 like I would. You are a blessing!!! My Pre-cal professor can’t explain it like you do.

[@malakghalb8280]

I am sooo going to advice my whole school about you I don't think I would be able to pass my math exam tomorrow without you

[@Kazwire]

TLDR: just swap the x and y. Y = 3x + 4 becomes x = 3y + 4 just get the single Y by itself and you are done.

[@illustryfe5354]

How do you inverse with fractions?

[@Ioading..]

AniJam you reverse the numerator and the denominator and if there is like subtraction or addition you just do the opposite of what it is. So if it was like y= 3/5x + 7 it would be y= 5/3x - 7

[@maiterya5962]

Caution510 _ thanks

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BLESS UR SOUL this concept had me in a chokehold up until now

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You make every topic so much less frustrating. Ty!

[@domokilla9944]

how do you get rid of a cubed root?

[@Jazz-gb9lp]

DomoKilla cube it

[@shanboss8296]

cube both sides of the equation.

[@evidence7338]

Cube both sides like she said

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i will pass precalc. say it with me. Love you, Muah 💋

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thank you so much! I'm preparing for finals and this is very helpful, easy to get.

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this is so easy, I wasn't expecting it to be this simple. Simple math like this makes me feel a little smarter.

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I have an exam the morning I'm watching this😢

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how was yur xm??

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my question is : x ≥ __

[@theothetorch8016]

You made me understand this thing in 45 seconds. Thank you so much!

[@legopandagirl_5813]

Serious time My teacher, doesn’t properly teach. Spends a day per topic. Test on as soon as we’re done with a chapter. Assumes we’re all understanding. Hmm, it’s a fast class. And I just can’t keep up. Your videos have helped me a lot!

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Who else is here in 2020 during online school because teachers cant teach worth a crap

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lol, same, i feel dumb when im the only one who doesn't understand in my class

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Jillian_star my teacher just sucks 😂

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@@Icy_815 samme,

[@jillian1406]

i mean, how did our teachers even get a teaching degree?

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Jillian_star I’ll ask a question and he’ll pause and then keep teaching

[@danielogsemen7874]

there is literally no point in switching the x with y

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Struggling with this equation just a week ago,tysm,u just explain it to me in just 2 min. that my teacher have failed to explain it to me lol ,keep it up

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Have a precalc test tomorrow and this is SO HELPFUL.

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Thank you !!! I didn't understand my teacher method but you explained it at a perfect pace for me

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ur the GOAT, I’m in precalc honors and my teachers teaches for quick I can’t understand her, u just cleared everything up

[@lidacaprice]

Good teacher! semple and clear demo. Thanks

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easy to follow nd easy to understand. well appreciated, much love

[@shivanshkhandelwal859]

Not me struggling to remember how to solve for inverse for almost a year and this guy removing my doubts in a matter of minutes