Find the Domain of the Composite Function F $f ^ { \circ } g$

Multiple Choice

Find the domain of the composite function f $f ^ { \circ } g$
- $$f ( x ) = \sqrt { 2 - x } ; \quad g ( x ) = | 2 x - 1 |$$

A) $\{ x \mid x \leq 2 \}$
B) $\{ x \mid x \geq 2 \}$
C) $\left\{ x \mid - \frac { 1 } { 2 } \leq x \leq \frac { 3 } { 2 } \right\}$
D) all real numbers