Inverse
<mathematics> Given a function, f : D -> C, a function g : C -> D is called a left inverse for f if for all d in D, g (f d) = d and a right inverse if, for all c in C, f (g c) = c and an inverse if both conditions hold.
Only an injection has a left inverse, only a surjection has a right inverse and only a bijection has inverses.
The inverse of f is often written as f with a -1 superscript.
