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Let    \( f(x) = \begin{cases} k(x) &\text{if }x>0, \\ -\frac1{2x}&\text{if }x< 0\\ 0&\text{if }x=0. \end{cases} \)

What is k(x) if f(x) is its own inverse.

 Mar 25, 2021
 #1
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k(x) = -2x.

 Mar 26, 2021

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