MathDB
Find all functions - [Iran Second Round 1987]

Source:

December 23, 2010
functionalgebra proposedalgebra

Problem Statement

Find all continuous functions f:R→Rf: \mathbb R \to \mathbb R such that f(x^2-y^2)=f(x)^2 + f(y)^2,   \forall x,y \in \mathbb R.