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

Source: 6th QEDMO problem 12 (22. - 29. 8. 2009) https://artofproblemsolving.com/community/c1512515_qedmo_200507

May 8, 2021
functional equationfunctionalalgebra

Problem Statement

Find all functions f:Rā†’Rf: R\to R, which satisfy the equation f(xy+f(x))=xf(y)+f(x)f (xy + f (x)) = xf (y) + f (x).
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