Question 87
Find all functions $f : \mathbf{R} \to \mathbf{R}$ satisfying
$$
f(f(y) + x^2 + 1) + 2x = y + (f(x+1))^2
$$
for all real numbers $x$ and $y$.
$$
f(f(y) + x^2 + 1) + 2x = y + (f(x+1))^2
$$
for all real numbers $x$ and $y$.
MathNet 2014 Question 87
Math Olympiad Vault · MathNet 2014