What is the domain of sqrt(4-x^2)?

2 Answers
Apr 19, 2018

color(blue)([-2,2]

Explanation:

If:

sqrt(4-x^2) is defined only for real numbers then:

4-x^2>= 0

x^2<= 4

x<=2

x>=-2

:.

Domain:

[-2,2]

Apr 19, 2018

-2 <= x <= 2

Explanation:

The square roots are only defined when the expression under the square root is non-negative.

4 - x^2 >=0
|x| <= 2
-2 <= x <= 2