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TH-TMO 2017 Problem 3

    Determine all functions f:R→Rf : R \to R satisfying f(f(x)−y)≤xf(x)+f(y)f(f(x) - y) \le xf(x) + f(y) for all real numbers x,yx, y .

    Dataset text AI-MO AoPS. Quoted with source.

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