\(\text{}\)\(\text{Let $f$ be the function defined by $f(x) = -2 \sin(\pi x)$. How many values of $x$ such that $-2 \le x \le 2$ satisfy the equation $f(f(f(x))) = f(x)$? }\)
The number of solutions to f(f(f(x))) = f(x) is 4.
