Evaluate the Following Function For $f ( x ) = - 2 x ^ { 2 } + 1 \text { and } g ( x ) = x + 4$

Multiple Choice

Evaluate the following function for $f ( x ) = - 2 x ^ { 2 } + 1 \text { and } g ( x ) = x + 4$
algebraically. $\left( \frac { f } { g } \right) ( q - 4 )$

A) $\frac { - 2 q ^ { 2 } + 5 } { q + 8 }$

B) $\frac { - 2 q ^ { 2 } + 8 q - 31 } { q }$

C) $\frac { - 2 q ^ { 2 } + 5 } { q }$

D) $\frac { - 2 q ^ { 2 } + 16 q - 31 } { q }$

E) $\frac { - 2 q ^ { 2 } - 3 } { q }$