150 Followers Question

Algebra Level 4

Suppose a function \(f : R → R\) satisfi es the following conditions: \((a) f(4xy) = 2y [f(x + y) + f(x -y)],\) for all \(x, y ∈ R\) \((b) f(5) = 3\).

Find the value of \(f(2015)\).

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