Inverting Functions

A functionallows us to findfor any value ofWe just substitute the value forinto

Ifthen we findwhenby calculating

Inverting a function allows us to find x for any value ofif this is possible.

The Procedure is:

  1. Write

  2. Rearrange the equation to makethe subject.

  3. Swapandover.

  4. Replaceby

  5. The graph ofmay be sketched by reflecting the graph ofin the line

Example: The graph ofis shown below.

Makethe subject:

Swapand

Replaceby


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