MathDB
Find all functional equations satisfying f(x+y)+f(x)f(y)=...

Source: Indian IMO Training Camp 2007-ST 4 P3

March 5, 2011
functionratioalgebra proposedalgebra

Problem Statement

Find all function(s) f:R→Rf:\mathbb R\to\mathbb R satisfying the equation f(x+y)+f(x)f(y)=(1+y)f(x)+(1+x)f(y)+f(xy);f(x+y)+f(x)f(y)=(1+y)f(x)+(1+x)f(y)+f(xy); For all x,y∈R.x,y\in\mathbb R.
Back to ProblemsView on AoPS