Determine the X Values That Cause the Function to Be $$f ( x ) = \frac { x - 2 } { ( x - 4 ) \sqrt { x + 6 } }$$

question 181

Multiple Choice

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
- $$f ( x ) = \frac { x - 2 } { ( x - 4 ) \sqrt { x + 6 } }$$

• A) (a) \(\{ 2 \}\), (b) \(\{ 4 \} \cup ( \infty , - 6 )\), (c) \(( - 6,2 ) \cup ( 4 , \infty )\), (d) \(( 2,4 )\)
• B) (a) \(\{ 2,4 \}\), (b) \(( - \infty , - 6 )\), (c) \(( - 6,2 ) \cup ( 4 , \infty )\), (d) \(( 2,4 )\)
• C) (a) \(\{ 2 \}\), (b) \(\{ 4 \} \cup (\infty, - 6 )\), (c) \(( 2,4 )\), (d) \(( - 6,2 ) \cup ( 4 , \infty )\)
• D) (a) \(\{ 2,4 \}\), (b) \(( \infty , - 6 )\), (c) \(( 2,4 )\), (d) \(( - 6,2 ) \cup ( 4 , \infty )\)

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