Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 375. (May 2005)

A. 375. Find all continuous functions f\colon\mathbb{R}\to\mathbb{R}, such that

f (x+y+f(xy))=xy+f(x+y).

for all x,y \inR.

(5 pont)

Deadline expired on June 15, 2005.


8 students sent a solution.
5 points:Jankó Zsuzsanna, Király Csaba, Paulin Roland, Strenner Balázs.
4 points:Tomon István, Vass Márton.
2 points:1 student.
0 point:1 student.

Problems in Mathematics of KöMaL, May 2005