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