Determine the X Values That Cause the Function to Be $$f ( x ) = \frac { \sqrt { x + 9 } } { ( 2 x + 3 ) ( x - 2 ) }$$

question 221

Multiple Choice

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
- $$f ( x ) = \frac { \sqrt { x + 9 } } { ( 2 x + 3 ) ( x - 2 ) }$$

• A) (a) \(\left\{ - 9,2 , - \frac { 3 } { 2 } \right\}\), (b) \(( x , - 9 )\), (c) \(\left( - 9 , - \frac { 3 } { 2 } \right) \cup ( 2 , \infty )\), (d) \(\left( - \frac { 3 } { 2 } , 2 \right)\)
• B) (a) \(\{ - 9 \}\), (b) \(\left\{ 2 , - \frac { 3 } { 2 } \right\} \cup ( \infty , - 9 )\), (c) \(\left( - 9 , - \frac { 3 } { 2 } \right) \cup ( 2 , \infty )\), (d) \(\left( - \frac { 3 } { 2 } , 2 \right)\)
• C) (a) \(\{ - 9 \}\), (b) \(\left\{ 2 , - \frac { 3 } { 2 } \right\} \cup ( \infty , - 9 ) , ( c ) \left( - \frac { 3 } { 2 } , 2 \right)\), (d) \(\left( - 9 , - \frac { 3 } { 2 } \right) \cup ( 2 , \infty )\)
• D) (a) \(\left\{ - 9,2 , - \frac { 3 } { 2 } \right\}\), (b) \(( * , - 9 ) , ( \mathrm { c } ) \left( - \frac { 3 } { 2 } , 2 \right)\), (d) \(\left( - 9 , - \frac { 3 } { 2 } \right) \cup ( 2 , \infty )\)

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