MathDB
Asymmetric FE over reals

Source: Latvian TST for Baltic Way 2020 P2

October 17, 2020
functionFunctional equation in Ralgebra

Problem Statement

Determine all functions f:Rā†’Rf:\mathbb R\to\mathbb R that satisfy equation: f(x3+y3)=f(x3)+3x2f(x)f(y)+3f(x)f(y)2+y6f(y) f(x^3+y^3) =f(x^3) + 3x^2f(x)f(y) + 3f(x)f(y)^2 + y^6f(y) for all reals x,yx,y
Back to ProblemsView on AoPS