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  • 23-12-2021
  • Mathematics
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WILL GIVE BRAINLIEST
PLEASE HELP 12 points

WILL GIVE BRAINLIEST PLEASE HELP 12 points class=

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tqiu
tqiu tqiu
  • 23-12-2021

Answer:

D. The function approaches 1 as x approaches -infinity and infinity

Step-by-step explanation:

Step 1: Divide numerator and denominator by [tex]x^2[/tex]:

[tex]\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}[/tex]

Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1

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