Given Functions F and G, Perform the Indicated Operations $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$

Multiple Choice

Given functions f and g, perform the indicated operations.
-Find the domain of $\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } )$ when $\mathrm { f } ( \mathrm { x } ) = 8 \mathrm { x } ^ { 2 } - 4 \mathrm { x }$ and $\mathrm { g } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 8 \mathrm { x } - 6$ .

A) Domain: $( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cup ( 4 + \sqrt { 22 } , \infty )$
B) Domain: $( - \infty , \infty )$
C) Domain: $( - \infty , 4 - \sqrt { 22 } ) \cup ( 4 - \sqrt { 22 } , \infty )$
D) Domain: $( - \infty , 4 - \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , 4 + \sqrt { 22 } ) \cap ( 4 - \sqrt { 22 } , \infty )$