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

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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