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Provide an Appropriate Response f(x)=x4x29f ( x ) = \frac { x - 4 } { x ^ { 2 } - 9 }

Question 167

Multiple Choice

Provide an appropriate response.
-Which function has no vertical asymptote? Why? a. f(x) =x4x29f ( x ) = \frac { x - 4 } { x ^ { 2 } - 9 }
b. f(x) =2x26xf ( x ) = \frac { 2 } { x ^ { 2 } - 6 x }
c. f(x) =3x2+15x2+6f ( x ) = \frac { 3 x ^ { 2 } + 15 } { x ^ { 2 } + 6 }
d. f(x) =x+5(x5) (x3) f ( x ) = \frac { x + 5 } { ( x - 5 ) ( x - 3 ) }


A) b. The numerator is never equal to 0.
B) d. No factor from the denominator cancels out.
C) a. The degree of the denominator is larger than the degree of the numerator.
D) c. The denominator is never equal to 0.

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