Question 49
Find all functions $f: \mathbb{R} \to \mathbb{R}$ satisfying all of the following conditions:
1. $f$ is a bijective function.
2. $f$ is an increasing function.
3. $f(f(x)) = f(x) + 12x, \forall x \in \mathbb{R}$.
1. $f$ is a bijective function.
2. $f$ is an increasing function.
3. $f(f(x)) = f(x) + 12x, \forall x \in \mathbb{R}$.