find the equation of all vertical asymptotes of the following function.\n\n$f(x)=\\frac{2x - 6}{6x +…

find the equation of all vertical asymptotes of the following function.\n\n$f(x)=\\frac{2x - 6}{6x + 12}$\n\nanswer: y =

find the equation of all vertical asymptotes of the following function.\n\n$f(x)=\\frac{2x - 6}{6x + 12}$\n\nanswer: y =

Answer

Answer:

$x = - 2$

Explanation:

Step1: Find the denominator

The denominator of the function (f(x)=\frac{2x - 6}{6x + 12}) is (6x+12).

Step2: Set the denominator equal to zero

Set (6x + 12=0).

Step3: Solve the equation

Subtract (12) from both sides: (6x=-12). Divide both sides by (6): (x=\frac{-12}{6}=-2). Since the numerator (2x - 6) at (x = - 2) is (2\times(-2)-6=-4 - 6=-10\neq0), (x=-2) is the vertical asymptote.