For the Given Functions F and G, Find the Requested $f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$

Multiple Choice

For the given functions f and g, find the requested function.
- $f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 4 x ^ { 2 } - 1 \quad$ Find $( f \cdot g ) ( x )$ .

A) $( f \cdot g ) ( x ) = 2 x ^ { 3 } + 4 x ^ { 2 } + 1$
B) $( f \cdot g ) ( x ) = 8 x ^ { 5 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1$
C) $( f \cdot g ) ( x ) = 8 x ^ { 6 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1$
D) $( f \cdot g ) ( x ) = - 8 x ^ { 5 } - 2 x ^ { 3 } - 4 x ^ { 2 } + 1$