For the Pair of Functions, Find the Indicated Sum, Difference $$\mathrm { f } ( \mathrm { x } ) = \sqrt { 7 \mathrm { x } + 7 } , \mathrm {~g} ( \mathrm { x } ) = \frac { 1 } { \mathrm { x } }$$

Multiple Choice

For the pair of functions, find the indicated sum, difference, product, or quotient.
- $$\mathrm { f } ( \mathrm { x } ) = \sqrt { 7 \mathrm { x } + 7 } , \mathrm {~g} ( \mathrm { x } ) = \frac { 1 } { \mathrm { x } }$$
Find $\left( \frac { f } { g } \right) ( x )$ .

A) $\frac { \sqrt { 7 x + 7 } } { x }$
B) $x \sqrt { 7 x + 7 }$
C) $\frac { 1 } { x \sqrt { 7 x + 7 } }$
D) $\frac { x } { \sqrt { 7 x + 7 } }$