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

question 44

Multiple Choice

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

• A) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 2 } ; \left( * , \frac { 2 } { 5 } \right) \cup \left( \frac { 2 } { 5 } , \infty \right)\)
• B) \(\left( \frac { \mathrm { f } } { \mathrm { g } } \right) ( \mathrm { x } ) = \frac { \sqrt { \mathrm { x } } } { 5 \mathrm { x } - 2 } ; \left( 0 , \frac { 2 } { 5 } \right) \cup \left( \frac { 2 } { 5 } , \infty \right)\)
• C) \(\left( \frac { f } { g } \right) ( x ) = \frac { \sqrt { x } } { 5 x - 2 } ; ( \infty , 0 ) \cup ( 0 , \infty )\)
• D) \(\left( \frac { f } { g } \right) ( x ) = \frac { 5 x - 2 } { \sqrt { x } } ; [ 0 , \infty )\)

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