olymmath

IR-TST 2013 Problem 9

    find all functions f,g:R+→R+f,g:\mathbb{R}^{+} \rightarrow \mathbb{R}^{+} such that ff is increasing and also: f(f(x)+2g(x)+3f(y))=g(x)+2f(x)+3g(y)f(f(x)+2g(x)+3f(y))=g(x)+2f(x)+3g(y) g(f(x)+y+g(y))=2x−g(x)+f(y)+yg(f(x)+y+g(y))=2x-g(x)+f(y)+y

    Dataset text AI-MO AoPS. Quoted with source.

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