thebrownado thebrownado
  • 04-01-2017
  • Mathematics
contestada

Give the equation of the horizontal asymptote shown below.
g(x)=7x^2/x^2+5
A. y= 7/5
B. y=7
C. y=5
D. x=7

Respuesta :

LammettHash
LammettHash LammettHash
  • 04-01-2017
Polynomial division yields

[tex]\dfrac{7x^2}{x^2+5}=7-\dfrac{35}{x^2+5}[/tex]

As [tex]x\to\pm\infty[/tex], you have the remainder term approaching [tex]0[/tex], so the horizontal asymptote is the line [tex]y=7[/tex].
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lolipop22 lolipop22
  • 09-02-2021

Answer:

the answer on a*p*e*x is y=7

Answer Link

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