Question 43
Find all functions $f: \mathbb{R} \to \mathbb{R}$ that satisfy the equation
$$
f(xf(y) + y) = f(x^2 + y^2) + f(y)
$$
for all real numbers $x$ and $y$.
$$
f(xf(y) + y) = f(x^2 + y^2) + f(y)
$$
for all real numbers $x$ and $y$.
MathNet 2020 — Math Olympiad Vault — Part 02 Question 43
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02