Question

How to find domain for `f(x)=sqrt(x+4)`?

Answer 1

Domain `x>=-4`

Explanation:

The domain is the set of `x` values that your function can accept. In this case you have a square root that cannot accept a negative argument.
So you may say that must be:
`x+4>=0`
or
`x>=-4` meaning that as long as `x` is equal or bigger than `-4` it is ok!

Answer 2

Refer to explanation

Explanation:

When you have a function with formula

`f(x)=sqrt(g(x))` where g(x) is a polynomial then for the function f
to be defined we need the condition that `g(x)>=0`.

Hence in our case `g(x)=x+4` hence `x+4>=0` or `x>=-4`

So the domain is `D(f)=[-4,+oo)`