Functional Equations: Olympiads

Algebra Level 5

A strictly increasing function \(f: \mathbb{N}\rightarrow\mathbb{N}\) is such that:

\(f(f(n)) = 3n\) \(\forall n\in \mathbb{N} \)

Find \(f(2015)\).

Credits: Prof. B.J. Venkatachala!
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