The inverse function, denoted [tex]F^{-1}(x),[/tex] of a one-to-one function [tex]F(x)[/tex] is defined as
[tex]F^{-1}(x) = \{(y,x) | \text{ such that } y = f(x)\}.[/tex]
Main properties:
1. [tex]F(F^{-1}(x)) = x,[/tex] x in the domain of [tex] F^{-1};[/tex]
[tex]F^{-1}(F(x)) = x,[/tex] x in the domain of F.
2. The domain of F is equal to the range of  [tex] F^{-1}[/tex] and the range of F is equal to the domain of  [tex] F^{-1}.[/tex]
From these properties you can state that options B, C, D and E are true and points A and F are false.
