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The entire graph of the function f(x) is shown below ( f is only defined when x is between 4 and 4 inclusive). How many values of x satisfy f(f(x))=2?

 


Thank you so much!

 Jul 17, 2020
 #1
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f(x) = 2 ==> x = -3, 0, 3

f(f(x)) = 2 ==> f(x) = -3, 0, 3

f(x) = 3 ==> three solutions

f(x) = 0 ==> 1 solution

f(x) = -3 ==> two solutions

 

A total of 6 solutions.

 Jul 17, 2020

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