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 $\mathrm { f } \cdot \mathrm { g }$ .

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

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