Question

find the domain of the function.
\\( g(x) = sqrt{-x} - 8 \\)
write your answer as an inequality.
or, you may instead click on \empty set\ or \all reals\ as the answer.

Explanation:

Step1: Set radicand ≥ 0

$-x \geq 0$

Step2: Solve for x

Multiply both sides by -1 (reverse inequality sign): $x \leq 0$

Answer:

$x \leq 0$