University of Phoenix

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I'm taking this math class and I'm suppose to find the vertical, horizontal and oblique asymptote, if any for the following equation...

f(x) = 11 - (5x/5x^2 + 7x - 12)

by NOT, i repeat NOT looking at a graph of the function.

Thanks...

  • mathematics help needed -

    Your school is NOT the subject.

  • University of Phoenix -

    f(x) = 11 - (5x/5x^2 + 7x - 12)
    I think you meant

    f(x) = 11 - 5x/(5x^2 + 7x - 12) which factors to
    f(x) = 11 - 5x/((x-1)(5x+12))

    V.A. when the denominator is zero
    ---> x = 1, -12/5

    H.A. what happens when x becomes ± "large"
    the algebraic term at the end --> 0
    so y = 11

    I don't "see" any oblique asymptotes.

  • University of Phoenix -

    Thank you very much, I have been trying to solve this the entire day... It's so simple... for some reason, I keep on pulling the 5 out of the equation.... This helps a lot.... Thanks...

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