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2 November, 14:01

Which function does not have a vertical asymptote? A) y = (x) / (1+x²). B) y = (5x) / (1-x²). C) y = (5x-1) / (x). D) (5x) / (x+x²).

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  1. 2 November, 16:21
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    V A are vertical lines that correspond to zeroes of the denominator of a rational function.

    B) Denominator: 1 - x² = 0

    x² = 1, x = 1, or x = - 1

    C) x = 0

    D) x + x² = 0

    x (1 + x) = 0, x = 0 or x = - 1

    And finally:

    A) 1 + x² ≠ 0, x² ≠ - 1

    Answer: function A) does not have a vertical asymptote.
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