Question 142
Find all continuous functions $f: \mathbf{R} \rightarrow \mathbf{R}$ that satisfy the relation
$$
3 \cdot f(2x+1) = f(x) + 5x, \quad \forall x \in \mathbf{R}
$$
$$
3 \cdot f(2x+1) = f(x) + 5x, \quad \forall x \in \mathbf{R}
$$
MathNet 2023-part-03 — 191 problems (EN–VI) Question 142
Math Olympiad Vault · MathNet 2023-part-03 — 191 problems (EN–VI)