+0

# domain and range

+1
135
1
+500

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+0 Answers

#1
+964
+1

1 - x^2 >= 0

-x^2 >= -1

x^2 <= 1

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

Domain: [0, 1)

Mar 1, 2021