Provide an Appropriate Response $f ( x ) = \frac { x } { 2 }$

Multiple Choice

Provide an appropriate response.
-Graph the functions $f ( x ) = \frac { x } { 2 }$ and $g ( x ) = 1 + \frac { 4 } { x }$ together to identify the values of $x$ for which $\frac { x } { 2 } > 1 + \frac { 4 } { x }$ . Confirm your findings algebraically.

A) $( - \infty , - 2 ) \cup ( 0,4 )$
B) $( - 2,4 )$
C) $( 4 , \infty )$
D) $( - 2,0 ) \cup ( 4 , \infty )$