Question 54
A function $f : \mathbb{R} \to \mathbb{R}$ is such that for all $x, y \in \mathbb{R}$
$$
f(x + 2xy) = f(x) + 2f(xy).
$$
Given that $f(2011) = 2012$, find $f(2012)$.
$$
f(x + 2xy) = f(x) + 2f(xy).
$$
Given that $f(2011) = 2012$, find $f(2012)$.