4 I am a little confused on the subject of inverse functions and the methods used to do the transformation from function to inverse. How do you make an inverse?

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 a …

Feb 23, 2018 · An exception is the present wide acceptance of arccos arccos, arcsin arcsin, and so on for the inverse trigonometric and hyperbolic-trigonometric functions, in place of cos−1 cos 1. sin−1 …

Oct 28, 2013 · The inverse for a function of x x is just the same function flipped over the diagonal line x = y x = y (where y = f(x) y = f (x)). So, if you graph a function, and it looks like it mirrors itself across the …

The functions loga(x) log a (x) and ax a x are clearly inverses of each other. The domain of logarithm base a a is all positive numbers and range is all real numbers. Using the fact that the domain and …

Mar 15, 2017 · I have been trying to solve this proof for some time in preparation for a test, though I'm not sure if I am going about this the correct way. Prove that if an inverse function exists, then it is u...

Nov 8, 2019 · So while it is very difficult/tedious (or impossible to do by hand) to compute the "general formula" for the inverse of the function in question, a careful application of the inverse function …

Jul 11, 2015 · It's trivial to come up with examples of functions which are their own inverse with sets of size two (and they no longer have to have the form f(x) = x --which certainly always satisfies this …

Mar 5, 2016 · To make a long story short, you do not need surjectivity for the inverse of a function to be a function (only injectivity is needed). You do need surjectivity to specify the domain of the inverse …

Oct 7, 2015 · The function $g$ is strictly positive. Let the function $f$ be defined as $$f(x) = \\int_0^x g(u) du$$ Is there a way to express $f^{-1}(x)$ in terms of $g$?