Properties of Inverse Functions

Question

All of the following statements regarding inverse functions are true except:

Accepted Answer

For a function to have an inverse, it must be periodic.

Answer

If $$f$$ is invertible, then $$f^{-1}(f(x))=x$$ for every $$x$$ in the domain of $$f$$.

Answer

A necessary condition for a function to have an inverse is that it is one-to-one.

Answer

The graph of an inverse function is the reflection of the original function across the line $$y=x$$.