Question

find the domain of the function. g(x)=\sqrt{6x + 30} write your answer as an inequality. or, you may instead click on \empty set\ or \all reals\ as the answer.

Explanation:

Step1: Set the radicand non - negative

The expression inside the square - root, $6x + 30$, must be greater than or equal to 0. So we have the inequality $6x+30\geq0$.

Step2: Solve the inequality for x

Subtract 30 from both sides: $6x\geq - 30$. Then divide both sides by 6. We get $x\geq - 5$.

Answer:

$x\geq - 5$