Nov 27, 2016 · Finding inverse functions and understanding their properties is fairly basic within mathematics. During my studies it was found fairly simple and easy to comprehend that it was …

Your polynomial is increasing, and its range is all reals, so there is an inverse. Finding a pleasant expression for the inverse is another matter. But one can find information about the derivative …

For a function to have an inverse, it must pass the horizontal line test. If the function has two or more x-values for one y-value, it does not have an inverse.

Apr 30, 2015 · I have been told that a function has an inverse if it is one-to-one or injective, but how can we rigorously prove this? I have been struggling to find a proof for days.

Jun 4, 2021 · I found this line about the condition of inverse function at Inverse function.Here is the line. In the verification step we technically really do need to check that both $\\left( {{f} \\circ …

Aug 5, 2015 · If a function has an inverse then it is bijective? Ask Question Asked 10 years, 4 months ago Modified 3 years, 8 months ago

May 18, 2018 · The Wikipedia article inverse function rule gives some examples and is easy to digest. Another article can be found on vixra: Higher order derivatives of the inverse function

Explore related questions algebra-precalculus functions inverse-function See similar questions with these tags.

Well, there are methods to prove that there exist an inverse for a function around some point, with some assumptions. This is usually enough when you need the inverse to prove some theorem...

The other common way is to introduce log as the integral of $1/x$, and define the exponential function as the inverse of that. I’m not aware of any presentation that introduces the functions …