Invertible Function

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Definition (Invertible Function)

We say that a function $f:D\to C$ is invertible if there exists a function $g:C\to D$ such that $f(g(c))=c$ for every $c\in C$ and $g(f(d))=d$ for every $d\in D$. If such a function $g$ exists, then we use the notation $f^{-1}$ as the name for the function $g$.