Inverse Functions

An inverse relation is a relation that is formed by interchanging the elements of each ordered pair in the relation.

Example: Relation = {(1,2),(2,3),(3,4),(4,5)}

Inverse = {(2,1),(3,2),(4,3),(5,4)}

A relation is a function if it passes the vertical line test.
Two functions are inverses if and only if f(g(x)) = x and g(f(x)) = x.
Inverses undo each other.
An inverse may be found algebraically by interchanging the x and y variables and solving the resulting equation for y.
The line y = x is a line symmetry for any function and its inverse.
A function is one-to-one when it passes the vertical line test and the horizontal line test.