Use Function Notation to Write $g$ In Terms Of $f ( x ) = x ^ { 3 }$

Multiple Choice

Use function notation to write $g$ in terms of $f ( x ) = x ^ { 3 }$ . $g ( x ) = - \frac { 1 } { 2 } ( x + 9 ) ^ { 3 }$

A) $g ( x ) = - \frac { 1 } { 2 } [ f ( x ) ] ^ { 3 } + 9$
B) $g ( x ) = - \frac { 1 } { 2 } [ f ( x ) + 9 ]$
C) $g ( x ) = - [ f ( x ) ] ^ { 3 } + \frac { 729 } { 2 }$
D) $g ( x ) = - \frac { 1 } { 2 } [ f ( x ) ] ^ { 3 } + 729$
E) $g ( x ) = - \frac { 1 } { 2 } [ f ( x + 9 ) ]$