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Home » Olympiad Resources » Germany » Team Selection Tests » 2009
 
Germany Team Selection Tests 2009

Germany Team Selection Tests 2009, TST 3, Problem 3

Find all functions f: \mathbb{R} \mapsto \mathbb{R} such that \forall x,y,z \in \mathbb{R} we have: If
x^3 + f(y) \cdot x + f(z) = 0,
then
f(x)^3 + y \cdot f(x) + z = 0.

Posted by orl at Sat Jul 18, 2009 2:30 am
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