Question 33
Find all functions $f$ from real numbers to real numbers such that
$$
f(a + b) = f(ab)
$$
for all irrationals $a, b$.
$$
f(a + b) = f(ab)
$$
for all irrationals $a, b$.
MathNet 2010 — Part 02 Question 33
Math Olympiad Vault · MathNet 2010 — Part 02