Respuesta :

Domain of f of g.

Determine domain of g.

x + 4 ≥ 0

x ≥ -4

Now determine domain of f of g, by first figuring out f of g:

[tex]\frac{x+4}{(x+4)-1}=\frac{x+4}{x+3}[/tex]

So x ≠ 3

So our domain is

[-4, -3) ∪ (-3, ∞)

The answer is D.