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