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Solve the Problem f(x)=x24x5x2+11x+30f ( x ) = \frac { x ^ { 2 } - 4 x - 5 } { x ^ { 2 } + 11 x + 30 }

Question 41

Multiple Choice

Solve the problem.
-Given f(x) =x24x5x2+11x+30f ( x ) = \frac { x ^ { 2 } - 4 x - 5 } { x ^ { 2 } + 11 x + 30 } , find all values for xx for which f(x) <0f ( x ) < 0 .


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

Correct Answer:

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