question find all vertical asymptotes of the following function. f(x) = (3x² - 7x)/(3x² + 9x - 120) answer…

question find all vertical asymptotes of the following function. f(x) = (3x² - 7x)/(3x² + 9x - 120) answer no vertical asymptotes submit answer

question find all vertical asymptotes of the following function. f(x) = (3x² - 7x)/(3x² + 9x - 120) answer no vertical asymptotes submit answer

Answer

Answer:

$x = - 5,x = 8$

Explanation:

Step1: Factor the denominator

$3x^{2}+9x - 120=3(x^{2}+3x - 40)=3(x + 5)(x - 8)$

Step2: Set the denominator equal to zero

$3(x + 5)(x - 8)=0$

Step3: Solve for x

$x+5 = 0$ gives $x=-5$; $x - 8=0$ gives $x = 8$. These are the vertical - asymptotes since the numerator $3x^{2}-7x$ is non - zero at $x=-5$ and $x = 8$.