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functional for starters f(x)f(y) = f(xy) + xy

Source: Norwegian Mathematical Olympiad 2017 - Abel Competition p1a

September 3, 2019
functional equationfunctionalgebra

Problem Statement

Find all functions f:R→Rf : R \to R which satisfy f(x)f(y)=f(xy)+xyf(x)f(y) = f(xy) + xy for all x,y∈Rx, y \in R.
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