The graph of the function \(f(x)\) is shown below. How many values of \(x\) satisfy \(f(f(x)) = 3\)?
f(f(x)) = 3
From the graph we can see that
f(-4) = 3 and f(2) = 3 and f(5) = 3
So....this must mean that
f (x) = -4 and f (x) = 2 and f(x) = 5
x = not on graph x = -2 and 0 x = 3
Check
f ( f(-2)) = f ( 2) = 3
f( f(0)) = f(2) = 3
f(f(3)) = f(5) = 3
So......the values of x are -2, 0 and 3