Question

Please answer last oneDetermine the vertical asymptote. If one exists.A. The vertical asymptote(s) are__B. There is no vertical

Answer 1

Given the function:

`R(x)=(x+6)/(x(x+8))`

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:

`x(x+8)=0`

As you can see, there will be two asymptotes, the first asympotote is in

x=0.

And the second one is:

`\begin{gathered} x+8=0 \\ x=-7 \end{gathered}`

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.