Question 76
Determine the functions $f: \mathbb{R} \rightarrow \mathbb{R}$ for which there exists a function $g: \mathbb{R} \rightarrow \mathbb{R}$ such that
$$
f(x)+f(y)=[g(x+y)]
$$
for all real numbers $x, y$.
(Here $[a]$ denotes the integer part of the real number $a$.)
$$
f(x)+f(y)=[g(x+y)]
$$
for all real numbers $x, y$.
(Here $[a]$ denotes the integer part of the real number $a$.)