Question 67
Find all functions $f : \mathbb{R}^+ \to \mathbb{R}^+$, such that
$$
f(af(b) + a)(f(bf(a)) + a) = 1
$$
for any positive reals $a, b$.
(Lyuben Lichev)
$$
f(af(b) + a)(f(bf(a)) + a) = 1
$$
for any positive reals $a, b$.
(Lyuben Lichev)
MathNet 2024-part-01 — 168 problems (EN–VI) Question 67
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)