# 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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