Posted by CC on .
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,
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