Respuesta :

You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).

Answer:

Step-by-step explanation:

Alright, lets get started.

The given rational function is :

[tex]f(x)=\frac{2x+8}{x^2+5x+6}[/tex]

For finding the vertical asymptotes of a rational function,  we must set the denominator equal to zero.

So, equaling denominator to zero :

[tex]x^2 +5x+6 = 0[/tex]

factoring

[tex](x+3)(x+2)=0[/tex]

This will give two values of x

[tex]x=-3, x=-2[/tex]    

So, these two are vertical asymptotes   :   Answer

Hope it will help :)

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