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pre-calc

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what are the asymtopes of

2x/x-3

  • pre-calc -

    First make sure the expression is correctly transcribed:
    2x/x-3
    does not equal
    2x/(x-3).
    I suspect it's the latter you need.

    Because of the lack of typesetting capabilities, parentheses are required around the numerator and the denominator.


    Hints for asymptotes and domains:

    1. All polynomials have a domain of R, or (-∞,∞).
    2. Horizontal asymptotes are finite values to which the function approaches when x→±∞.
    3. Vertical asymptotes for a rational function (i.e. polynomials in both numerator and denominator) occur when the denominator equals zero.
    4. The domain of a rational function is therefore (-∞,∞)-points at which vertical asymptotes occur.

    Post your answers for checking if you wish.

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