Question

What are the domain and range of the function f(x)= -square root x+3 -2?

Answer 1

`Dom_(f)=[-3,\infty)`

`Range_(f)=(-\infty,-2]`

Explanation:

I understand the correct function is
`f(x)=-√(x+3) - 2`

Domain of f

`x+3\geq 0\\x\geq -3`

Thus,
`Dom_(f)=[-3,\infty)`

Range of f

`Range_(f)=(-\infty,-2]`