Answer: option C. all numbers greater than or equal to -4.
Justification:
1) G(F(x)) means apply first the rule F(x) and then apply the rule G(y) to the outcome of (Fx).
2) Mathematically that is:
G(F(x) = G (x + 4) = [tex] \sqrt{x+4} [/tex]
3) The the domain is all the numbers for which the expression inside the root are not negative, i.e x + 4 ≥ 0
⇒ x ≥ - 4
That is the option C. all number greater than or equal to - 4.
