MEMO 2016 ekipno problem 2


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 6,0
Dodao/la: arhiva
29. kolovoza 2018.
LaTeX PDF

Let \mathbb{R} denote the set of real numbers. Determine all functions f : \mathbb{R} \to \mathbb{R} such that f(x)f(y) = xf(f(y-x)) + xf(2x) + f(x^2) holds for all real numbers x and y.

Izvor: Srednjoeuropska matematička olimpijada 2016, ekipno natjecanje, problem 2