Answer
$h(x)=x+\sqrt{x}$,
$g(x)=\sqrt{x} ,$
$f(x)=\displaystyle \frac{1}{x}$ and
$F(x)=f\circ g\circ h(x)$
Work Step by Step
If we were using a calculator , step by step, we would
1. calculate $h(x)=x+\sqrt{x}$,
2. then take the square root out of h(x),
$g(h(x))=\sqrt{h(x)}$
3. calculate the reciprocal of $g(h(x))$,
$f(g(h(x)))=\displaystyle \frac{1}{g(h(x))}$
So, $h(x)=x+\sqrt{x}$,
$g(x)=\sqrt{x} ,$
$f(x)=\displaystyle \frac{1}{x}$ and
$F(x)=f\circ g\circ h(x)$
