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What is the domain of the function $$f(x) = \frac{(2x-3)(2x+5)}{(3x-9)(3x+8)}~?$$ Express your answer as an interval or as a union of intervals.

 Feb 21, 2021
 #1
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The denominator cannot equal 0. The asymptotes are at x = 3 and x = -8/3.

 

Domain: \(x \in (-\infty, -\frac{8}{3}) \cup (3, \infty)\)

 Feb 21, 2021

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