Question 100
Does there exist a function $f\colon \mathbb{R}\to \mathbb{R}$ such that
$$f\big(x^{2} + f(y)\big) = f(x)^{2} - y$$
for all $x,y\in \mathbb{R}$?
$$f\big(x^{2} + f(y)\big) = f(x)^{2} - y$$
for all $x,y\in \mathbb{R}$?
MathNet 2025 — Part 01 (100 complete bilingual questions) Question 100
Math Olympiad Vault · MathNet 2025 — Part 01 (100 complete bilingual questions)