olymmath

CMO 2008 Problem 2

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Determine all functions ff defined on the set of rationals that take rational values for which

f(2f(x)+f(y))=2x+yf(2 f(x)+f(y))=2 x+y

for each xx and yy.

Dataset text NuminaMath olympiads. Quoted with source.

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f(x)=x \text{ or } f(x)=-x

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