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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