2.5 Algebra

Find all functions \(f: \mathbb{R} \to \mathbb{R}\) such that \(f(x+y) = f(x) + f(y)\) for all \(x,y \in \mathbb{R}\), and \(f(xy) = f(x)f(y)\) for all \(x,y \in \mathbb{R}\).

♡ 0 Show solutions

Not logged in? Click here to log in.