Question 63
Find all real numbers $a$ for which there exists a non-constant function $f: \mathbb{R} \to \mathbb{R}$ satisfying the equations
$$
1) \quad f(ax) = a^2 f(x)
$$
$$
2) \quad f(f(x)) = a f(x).
$$
$$
1) \quad f(ax) = a^2 f(x)
$$
$$
2) \quad f(f(x)) = a f(x).
$$