Question

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

Explanation:

Step1: Recall domain of square root

For a square root function \( \sqrt{u} \), the expression inside (radicand) must be non - negative, i.e., \( u\geq0 \).
Here, \( u = x + 8 \), so we set up the inequality \( x+8\geq0 \).

Step2: Solve the inequality

Subtract 8 from both sides of the inequality \( x + 8\geq0 \).
We get \( x\geq - 8 \).

Answer:

\( x\geq - 8 \)