Respuesta :

We have the function;

[tex]f(x)=-2x+8[/tex]

and

[tex]g(x)=\sqrt[]{x+9}[/tex]

Let's obtain f(g(x) before we make conclusions on the statements.

[tex]f^og=-2(\sqrt[]{x+9})+8[/tex]

The domain of f(g(x) starts from x= - 9, this is where the function starts on the real line.

But - 6 < -9 , and thus,

The answer is - 6 is in the domain of the function.