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What function is the inverse of the function
A. , for
B. , for
C. , for
D. , for

Ask by Luna Ellis. in the United States
Jan 20,2025

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Answer

The inverse function is , for .

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Mind Expander

To find the inverse of the function , we start by substituting for , giving us . Solving for involves isolating on one side, which leads to . Since we generally restrict to for a function to have an inverse, our next step would yield or simplified, . Finally, switching back to , the inverse function is for .
B. , for is incorrect since we improperly simplified from the functions given; the principal result lies where we observe for clearly defined reasons in squaring functions.

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