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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) have?

 Nov 19, 2021
 #1
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Graphing, the equation f(f(x)) = 4 only has the solution x = 2.  So the answer is 1 solution.

 Nov 19, 2021
 #2
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I'm sorry i mistiped I meant to say: How many solutions does the equation f(f(x))=6 have???

 Nov 19, 2021
 #3
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See if you can make sense of this pic

 

 

 Nov 19, 2021

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