Solve the Problem $f ( x ) = \frac { x ^ { 2 } - 4 x - 5 } { x ^ { 2 } + 11 x + 30 }$

question 41

Multiple Choice

Solve the problem.
-Given $f ( x ) = \frac { x ^ { 2 } - 4 x - 5 } { x ^ { 2 } + 11 x + 30 }$ , find all values for $x$ for which $f ( x ) < 0$ .

• A) \(( - 1,5 )\)
• B) \(( - \infty , - 6 ) \cup ( - 5 , - 1 ) \cup ( 5 , \infty )\)
• C) \(( - \infty , - 5 ) \cup ( 1,5 ) \cup ( 6 , \infty )\)
• D) \(( - 6 , - 5 ) \cup ( - 1,5 )\)

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