If $f ( x ) = 3 x - 2$ And $g ( x ) = 3 + 2 x ^ { 2 }$

Multiple Choice

If $f ( x ) = 3 x - 2$ and $g ( x ) = 3 + 2 x ^ { 2 }$ , find $f g$ and $( g \circ f ) ( x )$

A) $f g = x ^ { 3 } - 4 x ^ { 2 } + 9 x - 1 ; \quad \quad ( g \circ f ) ( x ) = 18 x ^ { 2 } - 24 x + 11$
B) $f g = 6 x ^ { 3 } - 4 x ^ { 2 } + 9 x - 6 ; \quad (g \circ f ) ( x ) = 18 x ^ { 2 } - 24 x + 11$
C) $f g = 2 x ^ { 2 } + 3 x + 1$ ; $\quad$ $\quad$ $\quad$$( g \circ f ) ( x ) = 6 x ^ { 2 } + 7$
D) $f g = 6 x ^ { 2 } + 7$ ; $\quad$ $\quad$ $\quad$ $\quad$$( g \circ f ) ( x ) = 6 x ^ { 3 } - 4 x ^ { 2 } + 9 x - 6$
E) none of these