Find the vertical asymptotes of the rational function.
-$$g ( x ) = \frac { x } { x ^ { 3 } - 343 }$$
A) $x = - 7$
B) $x = - 7 , x = 7$
C) $x = 7$
D) $x = 49$

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator is zero and the numerator is not zero. The denominator $x^3 - 343$ can be factored as $(x - 7)(x^2 + 7x + 49)$. The real root is $x = 7$, which makes the denominator zero, so the vertical asymptote is at $x = 7$.

Find the Vertical Asymptotes of the Rational Function g(x)=xx3−343g ( x ) = \frac { x } { x ^ { 3 } - 343 }g(x)=x3−343x​

Find the Vertical Asymptotes of the Rational Function $g ( x ) = \frac { x } { x ^ { 3 } - 343 }$