Determine the Domain of the Function $f ( x ) = \frac { x ^ { 2 } + 7 x + 12 } { x ^ { 2 } + 16 }$

Multiple Choice

Determine the domain of the function $f ( x ) = \frac { x ^ { 2 } + 7 x + 12 } { x ^ { 2 } + 16 }$ .

A) Domain: all real numbers except $x = - 4$ and 3
B) Domain: all real numbers except $x = - 16$
C) Domain: all real numbers except $x = - 4$ and $- 3$
D) Domain: all real numbers except $x = 4$ and 3
E) Domain: all real numbers