Answer:
The domain of the function is [tex][-4,\infty)[/tex].
Step-by-step explanation:
Domain is the set of all possible inputs for which the function is defined.
The given function is
[tex]y=\sqrt{x+4}[/tex]
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
[tex]x+4\geq 0[/tex]
Subtract 4 from both the sides.
[tex]x+4-4\geq 0-4[/tex]
[tex]x\geq -4[/tex]
The domain of the given function is
[tex]Domain=\{x|x\geq -4\}=[-4,\infty)[/tex]
Therefore the domain of the function is [tex][-4,\infty)[/tex].