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50 POINTS

10. Find the vertical asymptotes of the following function:
y=x+2
_______
x^2 +2x−8

Select the appropriate response:
A) horizontal asymptotes x = −4, 5
B) horizontal asymptotes x = −4, 4
C) vertical asymptotes x = −8, 4
D) vertical asymptotes x = −4, 2

Respuesta :

Answer:

D

Step-by-step explanation:

Factor x^2+2x-8

(x-2)(x+4) = 0

Solve for x

x = 2

x = -4

protecter4life

Given:

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

find the denominator:

[tex]x^2+2x-8[/tex]

[tex](x+4)(x-2) = y[/tex]

Find the x value:

[tex]x-2=0\\x=2[/tex]

[tex]x+4=0\\x=-4[/tex]

Your answer would be D:

x = -4, 2

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