Question 153
Let $p(x)$ and $q(x)$ be two cubic polynomials such that $p(0) = -24$, $q(0) = 30$, and
$$
p(q(x)) = q(p(x))
$$
for all real numbers $x$. Find the ordered pair $(p(3), q(6))$.
$$
p(q(x)) = q(p(x))
$$
for all real numbers $x$. Find the ordered pair $(p(3), q(6))$.