Answer
The domain of the function $$ f(x)=\sqrt{x^2+9}$$
is $ R $ and it is continuous.
Work Step by Step
Since $ x^2+9\geq 0$ for any value of $ x\in R $ and is a continuous polynomial, then the domain of the function $$ f(x)=\sqrt{x^2+9}$$
is $ R $ and it is continuous.