MathDB

11

Part of 2012 QEDMO 11th

Problems(1)

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

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

5/16/2021
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 .
functional equationfunctionalalgebra