Composition of inverse functions:
[tex]\begin{gathered} f(f(x))=x,\text{ for all x in the domain of g} \\ g(f(x))=x,\text{ for all x in the domain of f} \end{gathered}[/tex]
For the given functions:
[tex]\begin{gathered} F(x)=\sqrt{x}+4 \\ G(x)=x^2-4 \\ \\ F(G(x))=\sqrt{x^2-4}+4=\sqrt{(x+2)(x-2)}+4 \\ G(F(x))=(\sqrt{x}+4)\placeholder{⬚}^2-4=x+8\sqrt{x}+16-4=x+8\sqrt{x}+12 \end{gathered}[/tex]
As you can see above the compossition of the given functions is not equal to x, then the given functions are not inverse
Answer: A. No, because the composition does not result in an answer of x.