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At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply. f(x)=x+4/x^2+5x-24

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TaeKwonDoIsDead

Answer:

x = -8   &   at x = 3

Step-by-step explanation:

This is a rational function.

We can get the values of x at which vertical asymptotes occur by setting the denominator equal to 0 and solving for x.

Let's do this:

[tex]x^2+5x-24=0\\(x+8)(x-3)=0\\x=-8,3[/tex]

Hence, vertical asymptotes occur at x = -8 & at x = 3

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