olymmath

INMO 2015 Problem 3

  • Answer

Find all real functions ff from R→R\mathbb{R} \rightarrow \mathbb{R} satisfying the relation

f(x2+yf(x))=xf(x+y)f\left(x^{2}+y f(x)\right)=x f(x+y)

Dataset text NuminaMath olympiads. Quoted with source.

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f(x) \equiv 0 \text{ and } f(x)=x

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