Question 62
Determine all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ for which:
a. $f(x-1-f(x))=f(x)-1-x$ for all $x \in \mathbb{R}$,
b. The quantity $\{f(x) / x \mid x \in \mathbb{R}, x \neq 0\}$ is finite.
a. $f(x-1-f(x))=f(x)-1-x$ for all $x \in \mathbb{R}$,
b. The quantity $\{f(x) / x \mid x \in \mathbb{R}, x \neq 0\}$ is finite.