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