Specify the Domain Of $( g \circ f ) ( x )$

Specify the domain of $( g \circ f ) ( x )$ for the pair of functions $f ( x ) = \frac { 7 } { 4 x }$ and $g ( x ) = \frac { 1 } { x + 3 }$ .

A) $( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0 , \infty )$
B) $( - \infty , - 3 ) \cup ( - 3 , \infty )$
C) $( - \infty , - 3 ) \cup ( 0 , \infty )$
D) $\left( - \infty , - \frac { 7 } { 12 } \right) \cup \left( - \frac { 7 } { 12 } , 0 \right) \cup ( 0 , \infty )$
E) $( - \infty , 0 ) \cup ( 0 , \infty )$

Correct Answer:

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