For the Given Functions F and G, Find the Requested $$f ( x ) = \sqrt { x + 7 } ; g ( x ) = \frac { 2 } { x }$$

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = \sqrt { x + 7 } ; g ( x ) = \frac { 2 } { x }$$
Find $f \cdot g$ .

A) $( f \cdot g ) ( x ) = \frac { \sqrt { 2 x + 14 } } { x } ; \{ x \mid x \geq - 7 , x \neq 0 \}$
B) $( f \cdot g ) ( x ) = \frac { 2 \sqrt { x + 7 } } { x } ; \{ x \mid x \geq - 7 , x \neq 0 \}$
C) $( f \cdot g ) ( x ) = \sqrt { \frac { 9 } { x } } ; \{ x \mid x \neq 0 \}$
D) $( f \cdot g ) ( x ) = \sqrt { \frac { 2 x + 14 } { x } } ; \{ x \mid x \geq - 7 , x \neq 0 \}$