91Ó°ÊÓ

On March 22, 2011, one U.S. dollar could purchase 0.7045 Euros, and one Euro could purchase $114.9278$yen. Let $f\left(x\right)$represent the number of Euros you can buy with $x$dollars, and let $g\left(x\right)$represent the number of yen you can buy with $x$Euros.

Let $x=$amount of dollars

Let $f\left(x\right)$represent the number of Euros you can buy with localid="1647491295823" $x$dollars,

The given states that one US dollar can buy $0.7045$dollars.

Thus, the function that relates dollars to Euros is $f\left(x\right)=0.7045x$

Let $x=$amount in Euros

Let $g\left(x\right)$represent the number of Euros you can buy with localid="1647491308805">xdollars,

The given states that one Euro can buy $114.9278$Yen.

Thus,$g\left(x\right)=114.9278x$

The function that relates dollars to yen

$$\begin{gathered} \left(g∘f\right)\left(x\right)=g\left(f\left(x\right)\right)=114.9278\left(0.7045x\right) \\ =80.9666351x \end{gathered}$$

$$\begin{gathered} g\left(f\left(1000\right)\right)=80.9666351\left(1000\right) \\ g\left(f\left(1000\right)\right)=80966.64 \end{gathered}$$