$f: \mathbb{R} - \{3\} \to \mathbb{R} - \{2\}$, $f(x) = \frac{2x+1}{x-3}$ rasyonel fonksiyonunun ters fonksiyonu $f^{-1}(x)$ aşağıdakilerden hangisidir?
A) $f^{-1}(x) = \frac{3x+1}{x-2}$
B) $f^{-1}(x) = \frac{x+1}{x-2}$
C) $f^{-1}(x) = \frac{3x-1}{x-2}$
D) $f^{-1}(x) = \frac{3x+1}{2-x}$
E) $f^{-1}(x) = \frac{x-1}{x-2}$