(a) If we shift a curve to the left, what happens to its reflection about the line $y=x$? In view of this geometric principle, find an expression for the inverse of $g(x)=f(x+c)$, where $f$ is a one-to-one function.

(b) Find an expression for the inverse of $h(x)=f(cx)$, where $c \neq 0$.

(Denote $f^{-1}(x)$ as $k$ below).

(a) $g^{-1}(x) =$
(b) $h^{-1}(x) =$