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 attempt 1 out of 2\n\none vertical asymptote\n\nno vertical asymptotes\n\none vertical asymptote\n\ntwo vertical asymptotes

find the equation of all vertical asymptotes of the following function.\n\n$f(x)=\\frac{2x - 6}{6x + 12}$\n\nanswer attempt 1 out of 2\n\none vertical asymptote\n\nno vertical asymptotes\n\none vertical asymptote\n\ntwo vertical asymptotes

Answer

Explanation:

Step1: Find the denominator of the function

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 for ( x )

Subtract 12 from both sides: ( 6x=-12 ). Divide both sides by 6: ( x=\frac{-12}{6}=-2 ).

Answer:

The equation of the vertical asymptote is ( x = - 2 ).