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The function $f(x)$ is defined by \[f(x) = \left\{ \begin{array}{cl} -x + 1 & \text{if $x \le 0$}, \\ -(x - 1)^2 & \text{if $x \ge 1$}. \end{array} \right.\]Solve $f(x) = f^{-1}(x).$ Enter all the solutions, separated by commas.

 Sep 30, 2020
 #1
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The solutions are 0, 2, and 4.

 Sep 30, 2020

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