question find all vertical asymptotes of the following function. f(x) = (2x - 18)/(x - 3) answer no vertical…
question find all vertical asymptotes of the following function. f(x) = (2x - 18)/(x - 3) answer no vertical asymptotes submit answer
Answer
Answer:
$x = 3$
Explanation:
Step1: Recall vertical - asymptote condition
Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is non - zero.
Step2: Set the denominator equal to zero
Set $x - 3=0$.
Step3: Solve for $x$
$x=3$.
Step4: Check the numerator at $x = 3$
When $x = 3$, the numerator $2x-18=2\times3 - 18=6 - 18=- 12\neq0$. So $x = 3$ is a vertical asymptote.