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

**essaymasters** · January 7th 2009, 06:15 PM

Would infinite unions be used? How would it apply to f(x) = sec(x)?

**Shyam** · January 7th 2009, 06:39 PM

Originally Posted by essaymasters

Would infinite unions be used? How would it apply to f(x) = sec(x)?

see the attached graph for y = sec x

Domain = $\{ x \in \mathbb {R} ,\;x \ne \frac{(2n-1)\pi}{2} \}, \;n \in \mathbb {I}, \; integer$

**essaymasters** · January 7th 2009, 06:57 PM

Thanks Shyam! One more question though, how would this intersect with $g(x) = \frac{1}{(x-7)(x+2)}$ ?

**Shyam** · January 7th 2009, 07:06 PM

Originally Posted by essaymasters

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 ??

**essaymasters** · January 7th 2009, 07:17 PM

Absolutely! Thanks heaps!

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