Respuesta :

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

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].

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