Educator

Inverse Functions and Relations

• If you know the graph of f, use the horizontal line test on that graph to determine whether f has an inverse.

• If you know the graphs of f and g, these functions are inverses of each other if and only if their graphs are mirror images across the line y = x.

• Two functions are inverses of each other if and only if both of their compositions are the identity function f(x) = x for all x.