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TH-TMO 2015 Problem 9

    Determine all functions f:R→Rf : R \to R satisfying f(f(x)+2y)=6x+f(f(y)−x)f(f(x) + 2y)= 6x + f(f(y) -x) for all real numbers x,yx,y

    Dataset text AI-MO AoPS. Quoted with source.

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