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Math Help - What's the domain of a func. with repeating vertical asymptotes in interval notation?

  1. #1
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    What's the domain of a func. with repeating vertical asymptotes in interval notation?

    Would infinite unions be used? How would it apply to f(x) = sec(x)?
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  2. #2
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    Quote Originally Posted by essaymasters View Post
    Would infinite unions be used? How would it apply to f(x) = sec(x)?
    see the attached graph for y = sec x

    Domain = \{ x \in \mathbb {R} ,\;x \ne \frac{(2n-1)\pi}{2} \}, \;n \in \mathbb {I}, \; integer
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  3. #3
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    Thanks Shyam! One more question though, how would this intersect with g(x) = \frac{1}{(x-7)(x+2)}?
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  4. #4
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    Quote Originally Posted by essaymasters View Post
    Thanks Shyam! One more question though, how would this intersect with g(x) = \frac{1}{(x-7)(x+2)}?
    For, g(x) = \frac{1}{(x-7)(x+2)}, the vertical asymptote are at x= 7 and x = -2 and horizontal asymptote y = 0 (x-axis is horizontal asymptote)

    Please see attached graph

    got it ??
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  5. #5
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    Absolutely! Thanks heaps!
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