Give the equations of any vertical asymptotes for the graphs of the rational functions.
-$$f ( x ) = \frac { x - 1 } { x ^ { 2 } + 3 }$$
A) $x = 1 , x = - 1$
B) $x = 3$
C) $x = - 3$
D) None

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator of a rational function is equal to zero, but for $f(x) = \frac{x - 1}{x^2 + 3}$, the denominator $x^2 + 3$ is never zero for any real value of $x$ because $x^2$ is always non-negative, making $x^2 + 3 > 0$ for all $x$.

Give the Equations of Any Vertical Asymptotes for the Graphs f(x)=x−1x2+3f ( x ) = \frac { x - 1 } { x ^ { 2 } + 3 }f(x)=x2+3x−1​

Give the Equations of Any Vertical Asymptotes for the Graphs $f ( x ) = \frac { x - 1 } { x ^ { 2 } + 3 }$