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What is the domain of the function $$u(x) = \frac{1}{\sqrt x}~?$$ Express your answer in interval notation.

 Nov 6, 2014
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All numbers can be substituted for x except 0, therefore:  -∞ < x < 0  or  0 < x < ∞

--->   {-∞, 0}  ∪  {0, ∞}     --->   (-∞, 0)  ∪  (0, ∞) 

 Nov 6, 2014

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