find all vertical asymptotes of the following function. f(x) = (x^2 + 8x - 9)/(2x^2 - 12x) answer attempt 1…

find all vertical asymptotes of the following function. f(x) = (x^2 + 8x - 9)/(2x^2 - 12x) answer attempt 1 out of 2 no vertical asymptotes no vertical asymptotes one vertical asymptote two vertical asymptotes

find all vertical asymptotes of the following function. f(x) = (x^2 + 8x - 9)/(2x^2 - 12x) answer attempt 1 out of 2 no vertical asymptotes no vertical asymptotes one vertical asymptote two vertical asymptotes

Answer

Explanation:

Step1: Set denominator equal to 0

$2x^{2}-12x = 0$

Step2: Factor out common factor

$2x(x - 6)=0$

Step3: Solve for x

$2x=0$ gives $x = 0$; $x - 6=0$ gives $x=6$

Step4: Check for common factors with numerator

Factor numerator $x^{2}+8x - 9=(x + 9)(x - 1)$. There are no common factors with the denominator factors $2x$ and $x - 6$.

Answer:

Two Vertical Asymptotes