Answer
$f(x)=x^{9}$
$g(x)=4+x$
$h(x)=\sqrt[3]{x}$
Other answers are also possible.
Work Step by Step
If we let:
$f(x)=x^{9}$
$g(x)=4+x$
$h(x)=\sqrt[3]{x}$
Then:
$(f\circ g\circ h)(x)=f(g(h(x))=(4+\sqrt[3]{x})^{9}=G(x)$
Other answers are also possible.