Perform the Requested Operation or Operations $$f ( x ) = \sqrt { 3 x + 4 } , g ( x ) = \sqrt { 4 x - 16 }$$

Multiple Choice

Perform the requested operation or operations. Find the domain of each.
- $$f ( x ) = \sqrt { 3 x + 4 } , g ( x ) = \sqrt { 4 x - 16 }$$
Find $f g$ .

A) $( 3 x + 4 ) ( 2 x - 4 )$ ; domain: $( - \infty , \infty )$
B) $( \sqrt { 3 x + 4 } ) ( \sqrt { 4 x - 16 } )$ ; domain: $[ 4 , \infty )$
C) $( 2 x - 4 ) ( \sqrt { 3 x + 4 } )$ ; domain: $\left[ - \frac { 4 } { 3 } , \infty \right)$
D) $( 3 x + 4 ) ( 4 x - 16 )$ ; domain: $( - \infty , \infty )$