SOLUTION: Problem: g(x)= (x + 7)/(x^2-4)= Domain: (- infinity, -2)u (-2, 2) u (2, infinity) Find the equations of both vertical and horizontal asymptotes of the function. Show work or

Question 451878: Problem: g(x)= (x + 7)/(x^2-4)= Domain: (- infinity, -2)u (-2, 2) u (2, infinity)
Find the equations of both vertical and horizontal asymptotes of the function.
Show work or Explain in words:
Found 2 solutions by robertb, stanbon:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Considering only the highest power for the numerator and denominator, the function is reduced to . Letting x approach , the limit of g(x) is 0. Hence the horizontal asymptote is y = 0.
The vertical asymptotes are exactly x = 2 and x = -2.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Problem: g(x)= (x + 7)/(x^2-4)= Domain: (- infinity, -2)u (-2, 2) u (2, infinity)
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Find the equations of both vertical and horizontal asymptotes of the function.
Show work or Explain in words:
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Vertical asymptotes where the denominator is zero: x = 2 and x = -2:
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Horizontal asymptote: y = 0x^2/x^2 = 0
As x goes to infinity y is determined by x/x^2.
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Cheers,
Stan H.
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