## Inverse of a Function

Given a function we can findfor any value ofSubstitute the value forinto

Ifthen obtainwhenby finding

By finding the inverse of a function we can find x for any value ofif this can be done.

The Procedure is:

Let

Rearrange to makethe subject.

Swapand.

Replaceby

The graph ofcan be obtained by reflecting the graph ofin the diagonal line

Example: The graph ofis sketched below.

Makethe subject:

Swapand

Replaceby