\[f(x) = \sqrt{x - 3} + \frac{x - 2}{\sqrt{2 - x}},\ \ \]
\[\left\{ \begin{matrix} x - 3 \geq 0 \\ 2 - x > 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\left\{ \begin{matrix} x \geq 3 \\ x < 2 \\ \end{matrix} \right.\ \text{\ \ }\]
\[D(f) = \varnothing.\]