Answer:
[tex]\large\boxed{\text{The domain:}\ x\geq-3\to x\in[-3,\ \infty)}\\\boxed{\text{The range:}\ y\geq-1\to y\in[-1,\ \infty)}[/tex]
Step-by-step explanation:
[tex]y=\sqrt{x+3}-1\\\\The\ domain:\\\\x+3\geq0\qquad\text{subtract 3 from both sides}\\\\x\geq-3\to x\in[-3,\ \infty)\\\\The\ range:\\\\\sqrt{x+3}\geq0\qquad\text{subtract 1 from both sides}\\\\\sqrt{x+3}-1\geq-1\\\\y\geq-1\to y\in[-1,\ \infty)[/tex]
