Finding Inverse Functions (Precalculus - College Algebra 51)

[@abdalkareemroustom9312]

I swear Professor Leonard should just teach all teachers how to actually teach properly because he is litterelly the best.

[@formalPirateClips]

Other teachers are the inverse of Professor Leonard.

[@injusticegods_yt2617]

@@formalPirateClipslol 😂

[@La-PetitMort]

He's definitely wearing a super hero secret identity costume here

[@jordanlazaro1676]

Professor Leonard is real-life superman. I've struggled with inverse functions for so long and I felt so stupid. After watching this video, I feel like I finaly understand the concept of inverse functions and it makes me feel POWERFUL!!

[@flooplez]

bro is literally goated. the toddler analogy @6:49 was brilliant

[@rocks813]

The toychest-to-floor analogy is super awesome. Thank you, Professor!

[@okturnalcloud3710]

Genuinely, thank you. I just passed my final exam that I had failed the semester prior. The explanations you give are so clear and concise that I had several concepts click into place all of a sudden. I appreciate you.

[@Aycore2011]

I now posses the power to turn non-one-to-one functions into one-to-one functions like a god. Thank you, professor! I will use my new super power wisely.

[@austinolson6896]

Thank you for getting me through calculus 1 through 4 and hopefully through differential equations this January!

[@HimuraK1]

Did you make it through? Any recommendations?

[@frankieramos8017]

calculus 4 does not exist

[@JakeScott-w5c]

Thank you so much, makes a lot of sense now... U are patient and u explained down to the earth details and the why...... May u be bless with long and healthy life... Professor Leonard.

[@professorlee4506]

Thank you, Professor Leonard this is really helpful and it gives me a clearer view and understanding of Inverse Functions. It's assisting me in reading for my BA in Computer Science.

[@iamhumanbeing3]

I wish I could have found you in my 12th grade, but late here, now in college and in physics degree seeing forward to your lectures prof. Huge respect. And yes, more prosperous years ahead for you all 🌌

[@AngelSanchez-ge9og]

This dude is the man! Getting me through College Algebra! Super helpful.

[@apexelgenio8056]

I professor.... i found myself watching this video because i am learning new ways to improve my skill of teaching...... already i know all this but just your delivery is really enjoyable.... i have been subscribed for almost a year but i never really watch because i already know most of what your teaching..... but i think i wanna watch because there are some little things you say that i can learn to improve my personal knowledge

[@tdchayes]

APEX - I am also watching because I am looking for better ways to explain things. I'm a patron of Prof Leonard because he gives me ideas for explaining the math to the students that I tutor.

[@apexelgenio8056]

@@tdchayes even when i think i have it locked for teaching a content hear we go with prof leo saying and doing something a little different lol.... learning never stops... hey stop by at apex academy of mathematics ok

[@vb5897]

Thank you Prof. Leonard! The child analogy is hilarious because it's so true!

[@alyssafernandez3099]

I hope you see this comment!! I am watching your calculus videos from 2014 and I just want to take a moment to thank you so much! You have made calculus so much easier! When friends ask I talk about my youtube Professor Leonard!! This Chain Rule and Trigonometric second derivatives are beating my butt! lol Thank you again!

[@ilovemycatsm.333]

thanks for the video I couldn't understand the inverse function til now, tomorrow I have a math exam wish me success ✨

[@dyslashdx]

Just to let you know, these are still being watched! I love this stuff, thanks Leonard. This September I'm starting Theoretical Physics degree. Hope you're keeping well in your absence. 😀

[@dilshodkhudoyberdiev8729]

I have recently joined in this channel. I find your lessons so helpful. Thank you!

[@georgesadler7830]

Professor Leonard, this is another excellent video/lecture on Finding the Inverse Functions. Problem solving is key toward understanding this and future materials in Precalculus/College Algebra.

[@johnquiggins5287]

I love your teaching style- I really understand this concept now

[@salmai.5788]

thank you again bestie

[@mohammadsaminirtisum6152]

Prof thank you i really appreciate your work , the way you teach is very engaging and full of benefits I can really understand the concepts now ,thank you!

[@thatothato2738]

thank you so much, i now understand what ive been trying to get for days. thanks

[@yasmineyasmine8059]

You are awesome Pro. Leonard!!

[@MuhammadAbdullah-xj6ql]

Professor, your back is quite wide I couldn’t see the board properly

[@myles5158]

This guy said toy to toy chest, and toy chest back to floor 😂

[@rjsalas9731]

W professor fr fr

[@techzoneplus]

Thanks for helping me to find my inverse 🙃

[@Stinakinz]

He got brains and gains 🤩🔥🥵

[@rstor22]

@36:35 where the numerator and denominator are multiplied by (x+2): Is it a good idea to state the restriction on x by indicating that x cannot equal -2 thereby allowing us to multiply by (x+2)/(x+2)?

[@thenkaliway85]

Proff Good morning.. I passed last semester because of you.. Do you have Mathematical Induction Videos? Please refer me to them because I need you the most now more than ever

[@ProfessorLeonard]

Hi there! So glad to hear of your success :) I am actually going to make a video on basic induction in a few weeks. Good timing!

[@wajahat6485]

Hi Prof. Leonard Is it not required for a function to be onto? Thank you for making these videos

[@tdchayes]

No, a function does not have to be onto to have an inverse. A function that is not onto has a limited "range". So the inverse has a limited "domain". In fact, where Prof Leonard is headed (to exponential functions) the function is NOT onto. So the inverse (the logarithm) will have a limited domain.

[@mxk2811]

4:17 for motivation 😊

[@kylemaritz4673]

Thank you Sir!!

[@saiusmc]

does function also have both onto and one-to-one to have an inverse functions or just one-to-one?

[@johnbui5822]

Thank you Prof

[@ClumpypooCP]

awesome ... love this stuff

[@No-cc1vl]

Do you mean one to one and onto?

[@su.mu.kh.]

Thanks a lot Sir

[@zeeshan7372]

I surpassed 50 lectures so far

[@asthamaurya4936]

So,if i have to find range of a function - firstly could I find inverse of function ? Since domain of inverse function will be range of that function Is it right procedure ?? If it is then what about onto functions And how could we find range of complicated function( theoretically, without using its graph) Please answer me sir!

[@Omar_Kotb]

top professor

[@musikparadise8911]

What's the point of using an inverse if you already know what x is? I want f inverse to be f inverse of y. You are probably going to explain that.

[@Lovi1839]

Thanks🥰

[@hermannklein-hessling7612]

@24:39 how do you chose whether to omit the (-) from +/-. Also for a domain greater than or equal to 0 wouldn't the function be (-sqrt 9) and therefore not be possible.

[@somasahu1234]

Wouldn't it have been better if u discussed domain and range here too ?!?

[@Aaron-fb6mb]

Goated

[@filipolsson6634]

Thanks Clark Kent!

[@Serendib_Trails]

love u superman from sri lanka

[@somasahu1234]

But it's it that a function has its inverse if and only if it's bijective and not just one to one ?!?!🧐🤔

[@TonyMarios]

The graph is sort of a mirror

[@Bsbusah]

😊 😊

[@shaw3693]

9:30