# Inverse Function

### Inverse  Functions

Consider the function $$f:x \mapsto x - 2$$ with domain A = {1, 3, 4,7}.  Then the range of the function is B = {-1, 1, 2, 5}.  The arrow diagram representing this function is shown as below.

If the arrows of (a) are reversed, the arrow diagram in (b) is obtained. A new function having domain B and range A is formed from the function f.  This new function is called the inverse function of f and is denoted by  f-1 .