We have to find all functions $f\colon \mathbb R\to\mathbb R$ such that f:
$$\forall x,y\in \mathbb R \quad f(x+f(x+y))=f(x-y)+f(x)^2.$$
Could somebody help me solve this problem?
Thank you.
We have to find all functions $f\colon \mathbb R\to\mathbb R$ such that f:
$$\forall x,y\in \mathbb R \quad f(x+f(x+y))=f(x-y)+f(x)^2.$$
Could somebody help me solve this problem?
Thank you.