Given the function:
[tex]R(x)=\frac{x+6}{x(x+8)}[/tex]
Vertical asymptote:
To find the asymptote we have to find the x-values where the function i not defined.
Therefore, we have to analyze when the denominator is equal to 0:
[tex]x(x+8)=0[/tex]
As you can see, there will be two asymptotes, the first asympotote is in
x=0.
And the second one is:
[tex]\begin{gathered} x+8=0 \\ x=-7 \end{gathered}[/tex]
The second asymptote is in x=-7.
Answer: The vertical asymptote are x=0 and x=-7.
The vertical asymptote are x=0, x=-7.
