Respuesta :

domain is found by solving x-4>=0 the range is found by thinking of the outputs the outputs can range from 0 to infinity hope this helps

Answer:

The domain of the function are real values of x for which [tex]x \geq -4[/tex]

Step-by-step explanation:

The square root function is:

[tex]g(x) = \sqrt{f(x)}[/tex]

It's domain is:

real values of x, for which[tex]f(x) \geq 0[/tex]

In this problem, we have that:

[tex]y = \sqrt{x + 4}[/tex]

So

[tex]f(x) = x + 4[/tex]

[tex]f(x) \geq 0[/tex]

[tex]x + 4 \geq 0[/tex]

[tex]x \geq -4[/tex]

The domain of the function are real values of x for which [tex]x \geq -4[/tex]