Question 33
A function $f(x)$ satisfies
$$
(2-x) f(x)-2 f(3-x)=-x^{3}+5 x-18
$$
for all real numbers $x$. Solve for $f(0)$.
$$
(2-x) f(x)-2 f(3-x)=-x^{3}+5 x-18
$$
for all real numbers $x$. Solve for $f(0)$.
MathNet 2016-part-03 — 184 problems (EN–VI) Question 33
Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)