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f(x)f(y)=f(x-y) for reals x,y

Source: Baltic Way 1997

January 28, 2011
functionalgebra proposedalgebra

Problem Statement

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