Find the Domain Of $f g$ $f ( x ) = \frac { 3 x } { x - 5 } , \text { and } g ( x ) = \frac { x } { x + 1 }$

Multiple Choice

Find the domain of $f g$ . $f ( x ) = \frac { 3 x } { x - 5 } , \text { and } g ( x ) = \frac { x } { x + 1 }$

A) $( - \infty , - 1 ) \cup ( - 1,5 ) \cup ( 5 , \infty )$
B) $( - \infty , - 1 ] \cup [ 5 , \infty )$
C) $( - \infty , 1 ] \cup [ - 5 , \infty )$
D) $( - 1,5 )$
E) $( - \infty , 1 ) \cup ( - 5 , \infty )$