A function f is defined on R, the set of real numbers, by: \(f : x \to \frac{x + 3}{x - 2}, x \neq 2\), find \(f^{-1}\).
A. \(f^{-1} : x \to \frac{2x + 3}{x - 1}, x \neq 1\) B. \(f^{-1} : x \to \frac{x + 3}{x + 2}, x \neq -2\) C. \(f^{-1} : x \to \frac{x - 1}{2x + 3}, x \neq -\frac{3}{2}\) D. \(f^{-1}: x \to \frac{x - 2}{x + 3}, x \neq -3\)
