Given F(x) and G(x), Find the Indicated Composition and State $g ( x ) = \sqrt { x + 4 }$

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
-For $g ( x ) = \sqrt { x + 4 }$ and $h ( x ) = \frac { 1 } { x - 7 }$ , what is the domain of $h \cdot g$ ?

A) $[ - 4,7 ) \cup ( 7 , \infty )$
B) $[ 0,45 ) \cup ( 45 , \infty )$
C) $[ - 4,45 ) \cup ( 45 , \infty )$
D) $[ - 4 , \infty )$