Given F(x) and G(x), Find the Indicated Composition and State $$f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 7$$

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
- $$f ( x ) = 4 x ^ { 2 } + 2 x + 4 , g ( x ) = 2 x - 7$$
Find $( g \circ f ) ( x )$ .

A) $4 x ^ { 2 } + 4 x + 1$ , all real numbers
B) $8 x ^ { 2 } + 4 x + 1$ , all real numbers
C) $8 x ^ { 2 } + 4 x + 15$ , all real numbers
D) $4 x ^ { 2 } + 2 x - 3$ , all real numbers