Question

Find the domain of
f(x) = - squareroot x^2 - 4

Answer 1

d. x ≥ 2 or x ≤ -2

Explanation:

The domain is the set of all possible x-values that will make the function work.

For the function to work, the radicand cannot be negative.

x² - 4 ≥ 0

x² ≥ 4

x ≥ 2 -x ≥ 2

x ≤ -2

The domain is x ≥ 2 and x ≤ -2.

The graph of your function shows that ƒ(x) does not exist when -2 < x < 2.