Question 76
Let $\alpha$ be a real number. Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that
$$f(x + \alpha + f(y)) = f(f(x)) + f(\alpha) + y,$$
for all $x, y \in \mathbb{R}$.
$$f(x + \alpha + f(y)) = f(f(x)) + f(\alpha) + y,$$
for all $x, y \in \mathbb{R}$.