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# Help pls

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Let  $$f(x) = \begin{cases} k(x) &\text{if }x>0, \\ -\frac1{2x}&\text{if }x< 0\\ 0&\text{if }x=0. \end{cases}$$Find the function $$k(x)$$ such that $$f(x)$$ is its own inverse function.

Nov 2, 2021