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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
avatar+964 
+1

1 - x^2 >= 0

 

-x^2 >= -1

 

x^2 <= 1

 

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

 

 

Domain: [0, 1)

 Mar 1, 2021

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