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pre calc

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What is the vertical and horizontal asymptotes of
..

3x
_________
x^2-3x-10

  • pre calc -

    vertical asymptotes occur when the denominator is zero, so
    x^2 - 3x - 10 = 0
    (x-5)(x+2) = 0
    x = 5 or x = -2 are vertical asymtotes

    let x ---> ∞
    so 3x/(x^2 - 3x-10) ---> 0

    the horizontal asymptote is y = 0 , which is the x-axis

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