Question 10
Given that $f$ is a function from the non-negative real numbers to the non-negative real numbers such that
$$f(a^3)+f(b^3)+f(c^3)=3f(a)f(b)f(c)$$
and $f(1)\ne1$, where $a$, $b$ and $c$ are non-negative real numbers. Find $f(2019)$.
$$f(a^3)+f(b^3)+f(c^3)=3f(a)f(b)f(c)$$
and $f(1)\ne1$, where $a$, $b$ and $c$ are non-negative real numbers. Find $f(2019)$.