olymmath

BALTIC-WAY 1997 Problem 1

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Determine all functions ff from the real numbers to the real numbers, different from the zero function, such that f(x)f(y)=f(x−y)f(x) f(y)=f(x-y) for all real numbers xx and yy.

Dataset text NuminaMath olympiads. Quoted with source.

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f(x) \equiv 1

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