The graphs of a function and its inverse have a noteworthy relationship. In the coordinate plane, the function are graphed. Notice that the points of $f^{\text{-}1}$ are the reversed points of $f.$

Because the coordinates of the points are reversed, $f^{\text{-}1}(x)$ is a reflection of $f(x)$ in the line $y=x.$

This is true for all functions and their inverses.