Posted by CC on Wednesday, July 6, 2011 at 10:45pm.
Give the equations of any horizontal asymptotes for the graphs of the rational functions.
h(x)=(7x²8x5)/(8x²3x+9)
g(x)=(x²+4x8)/(x8)

Algebra II  Reiny, Wednesday, July 6, 2011 at 11:04pm
divide top and bottom by x^2 to get
h(x) = (7  8/x  5/x^2)/(8  3/x + 9/x^2)
as x approaches infinity, h(x) > 7/8
so the horizontal axis is y = 7/8
the second one does not have a horizontal axis, but ...
g(x) = x + 12 + 88/(x8)
there is an oblique asymptote at y = x + 12
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