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March 26, 2017

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If the graph of y = (ax - b)/(x - c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal to what?

  • Calculus - ,

    the vertical asymptote at x = -2 means that (x+2)=0 but (ax-b) is not 0.

    the horizontal asymptote at y=5 means that a=5,so we have 5x-b is not zero at x = -2.

    5(-2)+b not zero means b cannot be 10.

  • Calculus - ,

    Wouldn't it be -10?

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