Question 6
Do there exist functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
a) $f$ is a surjective function; and
b) $f(f(x)) = (x-1) f(x) + 2$ for all real $x$?
a) $f$ is a surjective function; and
b) $f(f(x)) = (x-1) f(x) + 2$ for all real $x$?