MathDB

4

Part of 2011 Philippine MO

Problems(1)

A Functional Equation

Source: 2011 Philippine Math Olympiad National Stage Problem 4

7/15/2013
Find all (if there is one) functions f:R→Rf:\mathbb{R}\rightarrow\mathbb{R} such that for all x∈Rx\in\mathbb{R}, f(f(x))+xf(x)=1.f(f(x))+xf(x)=1.
functionalgebra unsolvedalgebra