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BG-MO 2015 Problem 4

    Find all functions f:R+→R+f:\mathbb{R^+}\to\mathbb {R^+} such that for all x,y∈R+x,y\in R^+ the followings hold: i)i) f(x+y)≥f(x)+yf (x+y)\ge f (x)+y ii)ii) f(f(x))≤xf (f (x))\le x

    Dataset text AI-MO AoPS. Quoted with source.

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