Question

question #10
determine the vertical asymptote(s) of the following rational function: $f(x)=\frac{8x}{2x - 4}$
$x = 0$
$x=-2$
$x = 2$
$x = 8$

Explanation:

Step1: Recall vertical - asymptote rule

Vertical asymptotes of a rational function $y=\frac{f(x)}{g(x)}$ occur where $g(x) = 0$.

Step2: Set the denominator equal to 0

Set $2x - 4=0$.

Step3: Solve for x

Add 4 to both sides: $2x=4$. Then divide both sides by 2, we get $x = 2$.

Answer:

C. $x = 2$