# Functional Equation!

Algebra Level 5

$\large{f \left( x + \dfrac{y}{x} \right ) = f(x) + \dfrac{f(y)}{f(x)} + 2y}$

Let $f(x): \mathbb{Q}^+ \rightarrow \mathbb{R}$ be a function such that it satisfies the above functional equation for every $x,y$ belonging to the set of positive rational numbers. Then find the value of $f(2015)$.

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