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State the Domain of the Rational Function f(x)=x2+4x12x22x8f ( x ) = \frac { x ^ { 2 } + 4 x - 12 } { x ^ { 2 } - 2 x - 8 }

Question 54

Multiple Choice

State the domain of the rational function.
- f(x) =x2+4x12x22x8f ( x ) = \frac { x ^ { 2 } + 4 x - 12 } { x ^ { 2 } - 2 x - 8 }


A) (,4) (4,2) (2,) ( - \infty , - 4 ) \cup ( - 4,2 ) \cup ( 2 , \infty )
B) (,2) (2,4) (4,) ( - \infty , - 2 ) \cup ( - 2,4 ) \cup ( 4 , \infty )
C) (,) ( - \infty , \infty )
D) (,4) (4,) ( - \infty , 4 ) \cup ( 4 , \infty )

Correct Answer:

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