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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 \(n>m\).

Note by Majed Musleh
7 months ago

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Does \( f(f(n))^{-1} \) mean \( f^{-1}(f(n)) \) or \( \dfrac{1}{f(f(n))} \)? Ameya Daigavane · 6 months, 4 weeks ago

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@Ameya Daigavane it means \[\frac{1}{f(f(n))}\] Majed Musleh · 6 months, 4 weeks ago

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