Translate Reciprocal Functions, Given the Asymptotes

$f(x) = \frac{x}{\alpha x - \alpha^2}$

$f(x) = \frac{1}{x-\alpha} - \frac{1}{\alpha}$

$f(x) = \frac{x}{\alpha - \alpha^2 x}$

$f(x) = \frac{1}{\alpha x - \alpha^2}$