Find the Indicated Function and Write Its Domain in Interval $p ( x ) = x ^ { 2 } + 6 x , q ( x ) = \sqrt { 4 - x } , \left( \frac { q } { p } \right) ( x ) =$

question 39

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $p ( x ) = x ^ { 2 } + 6 x , q ( x ) = \sqrt { 4 - x } , \left( \frac { q } { p } \right) ( x ) =$ ?

• A) \(\left( \frac { q } { p } \right) ( x ) = \frac { \sqrt { 4 - x } } { x ^ { 2 } + 6 x } ; ( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0,4 ]\)
• B) \(\left( \frac { q } { p } \right) ( x ) = \frac { \sqrt { 4 - x } } { x ^ { 2 } + 6 x } ; ( - \infty , - 6 ) ( - 6,0 ) \cup ( 0 , \infty )\)
• C) \(\left( \frac { q } { p } \right) ( x ) = \sqrt { \frac { 4 - x } { x ^ { 2 } + 6 x } } ; ( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0,4 )\)
• D) \(\left( \frac { q } { p } \right) ( x ) = \sqrt { \frac { 4 - x } { x ^ { 2 } + 6 x } } ; ( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0 , \infty )\)

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