For the Given Functions F and G, Find the Requested $f ( x ) = 2 x + 4 ; g ( x ) = 3 x - 8 ; \quad$

Multiple Choice

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.
- $f ( x ) = 2 x + 4 ; g ( x ) = 3 x - 8 ; \quad$ Find $f \cdot g$ .

A) $( f \cdot g ) ( x ) = 6 x ^ { 2 } - 4 x - 32 ; ( \infty , \infty )$
B) $( f \cdot g ) ( x ) = 5 x ^ { 2 } - 4 x - 4 ; ( \infty , \infty )$
C) $( f \cdot g ) ( x ) = 6 x ^ { 2 } + 4 x - 32 ; ( \infty , - 32 ) \cup ( - 32 , \infty )$
D) $( f \cdot g ) ( x ) = 6 x ^ { 2 } - 32 ; ( \infty , - 32 ) \cup ( - 32 , \infty )$