If F^1(x) is the inverse of F(x), what is the value of F^1(F(x))?

We are given that a function and its inverse and we are asked to determine:
[tex]F^{-1}(F(x))[/tex]Since the inverse is the opposite to the function this means that when applying the inverse of a function to that same function we get:
[tex]F^{-1}(F(x))=x[/tex]