Support: / professorleonard Professor Leonard Merch: professor-leonard.myshopify.com How to find the inverse of a one-to-one function and how to restrict the domain to create certain one-to-one functions.
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!!
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.
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 🌌
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.
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.
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. 😀
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!
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.
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!
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
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.
@@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
@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)?
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
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.
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!
@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.
