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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
9 months, 1 week ago

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Does $$f(f(n))^{-1}$$ mean $$f^{-1}(f(n))$$ or $$\dfrac{1}{f(f(n))}$$? · 9 months ago

it means $\frac{1}{f(f(n))}$ · 9 months ago