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Inverse of a power function

The inverse of the power function is the root

 


Explanation

We start from the power function

In order to determine the inverse function, we need to answer the question: To what power do I need to raise a to find x? We take the root of both sides

 


Example 1

The inverse of the quadratic function x2 is the square root x½.

Shown here are +√x (green) and −√x (blue).

 


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