Question 95
Let $\mathbb{Q}^{+}$ denote the set of all positive rational numbers and let $\alpha \in \mathbb{Q}^{+}$. Determine all functions $f: \mathbb{Q}^{+} \rightarrow (\alpha,+\infty)$ satisfying
$$
f\left(\frac{x+y}{\alpha}\right)=\frac{f(x)+f(y)}{\alpha}, \quad \text{ for all } x, y \in \mathbb{Q}^{+} .
$$
$$
f\left(\frac{x+y}{\alpha}\right)=\frac{f(x)+f(y)}{\alpha}, \quad \text{ for all } x, y \in \mathbb{Q}^{+} .
$$