Answer
Domain: {x: x$\geq$-1},
Range: {y: y$\geq0$}
Work Step by Step
The square root of negative numbers is not real. Therefore, x+1 should be equal to or greater than 0.
$x+1\geq0$
$\implies x\geq-1$
The domain is the set of all possible input values of f.
Domain of f: {x: x$\geq$-1}
When we substitute the value of x, we get a y-value. The set of all resulting y-values is known as the range of the function. For $x\geq-1$, the value of y is always 0 or positive. That is,
Range of f: {y: y$\geq0$}
