Question 2
Let $ \mathbb{R}^+ $ denote the set of positive real numbers. Determine all functions $ f: \mathbb{R}^+\to \mathbb{R}^+ $ such that
$$ f(x)f(y)=2f(x+y f(x)) $$
for all positive real numbers x and y.
$$ f(x)f(y)=2f(x+y f(x)) $$
for all positive real numbers x and y.