Question

G(x) = sqr root of x+3What is the domain of g(x)

Answer 1

`\lbrack-3,\infty)`

Given:

`g(x)=\sqrt[]{x+3}`

We need to find the values of x in which the value inside the radical should not be negative:

`\begin{gathered} x+3\ge0 \\ x\ge-3 \end{gathered}`

This will now give us a domain of:

`\lbrack-3,\infty)`