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Algebra II

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Give the equations of any horizontal asymptotes for the graphs of the rational functions.

h(x)=(7x²-8x-5)/(8x²-3x+9)


g(x)=(x²+4x-8)/(x-8)

  • Algebra II - ,

    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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