MathDB
f (xf (y) + f (x)) = xy$

Source: 11th QEDMO p11 Seniors (6-8. 12. 2012) https://artofproblemsolving.com/community/c1512515_qedmo_200507

May 16, 2021
functional equationfunctionalalgebra

Problem Statement

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