Answer
The function that converts the dress sizes in Italy to those in France is $h\left( x \right)=\frac{x}{2}+20$.
Work Step by Step
$f\left( x \right)=x+32$ and $g\left( x \right)=\frac{x-24}{2}$
The function that converts dress sizes in Italy to France is given by the function $h\left( x \right)=\left( f\circ g \right)\left( x \right)$, which is the composition of the dress sizes in Italy to those in the United States and the function that converts the dress sizes in United States to those in France.
Evaluate the function $h\left( x \right)=\left( f\circ g \right)\left( x \right)$ as follows.
$\begin{align}
& h\left( x \right)=\left( f\circ g \right)\left( x \right) \\
& =f\left( g\left( x \right) \right)
\end{align}$
Substitute, $g\left( x \right)=\frac{x-24}{2}$ as follows.
$h\left( x \right)=f\left( \frac{x-24}{2} \right)$
Replace $x$ by $\frac{x-24}{2}$ in the function $f\left( x \right)=x+32$ as follows.
$h\left( x \right)=\frac{x-24}{2}+32$
Simplify further as follows.
$\begin{align}
& h\left( x \right)=\frac{x}{2}-12+32 \\
& =\frac{x}{2}+20
\end{align}$
