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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).