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

Source: 2016 Latvia BW TST P4

December 17, 2022
algebrafunctionalfunctional equation

Problem Statement

Find all functions f:Rā†’Rf : R \to R defined for real numbers, take real values and for all real xx and yy the equality holds: f(2x+2y)=2yf(f(x))f(y).f(2^x+2y) =2^yf(f(x))f(y).
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