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BALTIC-WAY 2014 Problem 4

  • Answer

Find all functions ff defined on all real numbers and taking real values such that

f(f(y))+f(x−y)=f(xf(y)−x)f(f(y))+f(x-y)=f(x f(y)-x)

for all real numbers x,yx, y.

Dataset text NuminaMath olympiads. Quoted with source.

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f(x)=0

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