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:

  1. Let

  2. Rearrange to makethe subject.

  3. Swapand.

  4. Replaceby

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

    Example: The graph ofis sketched below.

    Makethe subject:



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