 Inverse function

If a function $f:X\to Y$ is bijective, its inverse function $f^{-1}:Y\to X$ is characterized by $f^{-1}(f(x))=x$ and $f(f^{-1}(y))=y$.

An inverse function is a function that reverses the action of the original function. If you have a function \( f(x) \), the inverse function, denoted as \( f^{-1}(x) \), will take the output of \( f \) and return the original input.