## Intermediate Algebra (6th Edition)

$[0,∞)$
We are given the function $f(x)=\sqrt x+3$. The index of the radical is even, so we know that $\sqrt x$ will only be a real number if x is not negative. Therefore, the domain of this function is all values of x such that $x\geq0$. This can be written as $[0,∞)$ in interval notation.