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# domain and range

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What is the domain of the real-valued function

$$q(x) = \frac{\sqrt{x}}{\sqrt{1-x^2}}~?$$

Express your answer as an interval or as a union of intervals.

Mar 1, 2021

#1
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1 - x^2 >= 0

-x^2 >= -1

x^2 <= 1

sqrt(x) >= 0 ===> x > 0

Domain: [0, 1)

Mar 1, 2021