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!
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 \(\boxed{6}\) solutions.