Question 180
Find all functions $f(x): \mathbb{R} \to \mathbb{R}$ satisfying for all $x \in \mathbb{R}$ the equality
$$
x = \frac{3}{4}f(|x|) + |f(x)|.
$$
(I. Voronovich)
$$
x = \frac{3}{4}f(|x|) + |f(x)|.
$$
(I. Voronovich)
MathNet 2019-part-01 — 184 problems (EN–VI) Question 180
Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)