Respuesta :

Answer:

B) [tex]x\geq0[/tex]

Step-by-step explanation:

The domain of the square root function is all real non-negative numbers. In a numerical format that is as follows:

[tex]D(\sqrt{x})={[0,\infty )}[/tex]

This is more commonly denoted as:

[tex]x\geq0[/tex]

In the case of the given function:

[tex]g(x)=\sqrt{8x}[/tex]

The domain is still ([tex]x\geq0[/tex]) as multiplying a value by (8) does not alter this. A negative number times (8) is still negative and thus cannot be a part of the square root domain. Similarly, a positive number times (8) is still positive and remains a part of the square root domain. Moreover, (0) times (8) is still (0).

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