Let \(f: \mathbb Z^+ \to \mathbb Z^+ \) such that \( f(m+n) \geq f(m) + f(f(n))^{-1} \). Find the relationship between \(f(n) \) and \(f(m) \) for all \(n>m\).

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TopNewestDoes \( f(f(n))^{-1} \) mean \( f^{-1}(f(n)) \) or \( \dfrac{1}{f(f(n))} \)? – Ameya Daigavane · 1 year, 5 months ago

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– Majed Musleh · 1 year, 5 months ago

it means \[\frac{1}{f(f(n))}\]Log in to reply