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# Piecewise Functions

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Let

$$f(x) = \left\{ \begin{array}{cl} -x + 3 & \text{if } x \le 0, \\ 2x - 5 & \text{if } x > 0. \end{array} \right.$$

How many solutions does the equation $$f(f(x))=4$$ have?

May 18, 2020