Question 80
Find all functions $f$ from the set of real numbers to itself satisfying
$$
f(x(1+y)) = f(x)(1+f(y))
$$
for all real numbers $x, y$.
$$
f(x(1+y)) = f(x)(1+f(y))
$$
for all real numbers $x, y$.
MathNet 2013 Question 80
Math Olympiad Vault · MathNet 2013