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RO-NMO 2019 Problem 94

  • Grade 9

Find all functions f:R→Rf:\mathbb{R}\to\mathbb{R} such that f(x+y)≤f(x2+y)f(x+y)\leq f(x^2+y) for all x,yx,y .

Dataset text AI-MO AoPS. Quoted with source.

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