Question 102
Let $\mathbb{R}^+$ be the set of all positive real numbers. Determine all functions $f : \mathbb{R}^+ \to \mathbb{R}^+$ satisfying
$$
f(x + y + f(y)) = 4030x - f(x) + f(2016y), \quad \forall x, y \in \mathbb{R}^+.
$$
$$
f(x + y + f(y)) = 4030x - f(x) + f(2016y), \quad \forall x, y \in \mathbb{R}^+.
$$