Question

What is the domain function of y=√x+4

Answer 1

[0, ∞) is the domain for the equation y=√x+4. The solution is x≥0

Answer 2

The domain of the function is
`[-4,\infty)`.

Explanation:

Domain is the set of all possible inputs for which the function is defined.

The given function is

`y=√(x+4)`

It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.

`x+4\geq 0`

Subtract 4 from both the sides.

`x+4-4\geq 0-4`

`x\geq -4`

The domain of the given function is

`Domain=\x=[-4,\infty)`

Therefore the domain of the function is
`[-4,\infty)`.