Posted by CC on Wednesday, July 6, 2011 at 10:45pm.
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/(x-8)
there is an oblique asymptote at y = x + 12
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