For the Given Functions F and G, Find the Requested $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x$
Find $f + g$ .

A) $( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}$
B) $( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}$
C) $( f + g ) ( x ) = - x ^ { 2 } + x + 12 ;$ all real numbers
D) $( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64$ ; all real numbers