Find all continuous functions f:\mathbb R \to \mathbb R which satisfy f(f(x)) = f(x) + x.
[originally posted by Mladenov on TSR]
Find all continuous functions f:\mathbb R \to \mathbb R which satisfy f(f(x)) = f(x) + x.
[originally posted by Mladenov on TSR]
Assume this doesn’t just include polynomials?
No, f is only assumed to be continuous