For the Given Functions F and G, Find the Requested $$f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 2$$

question 61

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = \sqrt { x } ; g ( x ) = 5 x - 2$$
Find $\frac { f } { g }$ .

• A) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 2 } ; \{ x \mid x \neq 0 \}\)
• B) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 2 } ; \left\{ \mathrm { x } \mid \mathrm { x } \geq 0 , \mathrm { x } \neq \frac { 2 } { 5 } \right\}\)
• C) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 2 } ; \left\{ \mathrm { x } \mid \mathrm { x } \neq \frac { 2 } { 5 } \right\}\)
• D) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { 5 \mathrm { x } - 2 } { \sqrt { \mathrm { x } } } ; \{ \mathrm { x } \mid \mathrm { x } \geq 0 \}\)