# pre-calc

posted by caitlyn

what are the asymtopes of

2x/x-3

1. MathMate

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.

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