Match the set described with the correct interval notation. Choices may be used once, more than once, or not at all.
-domain of $f(x)=\sqrt{x}-2$
A) $(-\infty, 0)$
B) $(-\infty, \infty)$
C) $(-\infty, 2]$
D) $[-2, \infty)$
E) $(-\infty, 0]$
F) $(2, \infty)$
G) $[0, \infty)$
H) $[2, \infty)$

Question

Quizplus · Accepted Answer

The domain of $f(x)=\sqrt{x}-2$ is all $x$ values for which the expression under the square root, $x$, is greater than or equal to 0. This is because the square root of a negative number is not a real number. Therefore, the domain is all real numbers greater than or equal to 0, which is represented by the interval notation $[0, \infty)$.

Match the Set Described with the Correct Interval Notation f(x)=x−2f(x)=\sqrt{x}-2f(x)=x​−2 A) (−∞,0)(-\infty, 0)(−∞,0)

Match the Set Described with the Correct Interval Notation $f(x)=\sqrt{x}-2$ A) $(-\infty, 0)$