Find the vertical asymptotes of the rational function.
-$$f ( x ) = \frac { 2 x ^ { 2 } } { ( x + 4 ) ( x - 1 ) }$$
A) $x = - 4 , x = 1 , x = - 2$
B) $x = - 4 , x = 1$
C) $x = - 2$
D) $x = 4 , x = - 1$

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator of a rational function is zero (and the numerator is not zero at those points). Setting the denominator equal to zero gives the equations $x + 4 = 0$ and $x - 1 = 0$, which solve to $x = -4$ and $x = 1$, respectively.

Find the Vertical Asymptotes of the Rational Function f(x)=2x2(x+4)(x−1)f ( x ) = \frac { 2 x ^ { 2 } } { ( x + 4 ) ( x - 1 ) }f(x)=(x+4)(x−1)2x2​

Find the Vertical Asymptotes of the Rational Function $f ( x ) = \frac { 2 x ^ { 2 } } { ( x + 4 ) ( x - 1 ) }$