Question 199
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
$$
f(x y+z)=f(x) f(y)+f(z)
$$
for all real numbers $x$, $y$, and $z$.
$$
f(x y+z)=f(x) f(y)+f(z)
$$
for all real numbers $x$, $y$, and $z$.
MathNet 2026 — Part 09 Question 199
Math Olympiad Vault · MathNet 2026 — Part 09