For the Given Functions F and G, Find the Requested $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = \sqrt { x + 13 } ; g ( x ) = \frac { 4 } { x }$ Find f · g.

A) $( f \cdot g ) ( x ) = \frac { \sqrt { 4 x + 52 } } { x } ; \{ x \mid x \geq - 13 , x \neq 0 \}$
B) $( f \cdot g ) ( x ) = \sqrt { \frac { 17 } { x } } ; \{ x \mid x \neq 0 \}$
C) $( f \cdot g ) ( x ) = \frac { 4 \sqrt { x + 13 } } { x } ; \{ x \mid x \geq - 13 , x \neq 0 \}$
D) $( f \cdot g ) ( x ) = \sqrt { \frac { 4 x + 52 } { x } } ; \{ x \mid x \geq - 13 , x \neq 0 \}$