Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U. dollar could...

Traders often buy foreign currency in hope of making money when the currency’s value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen. Let f(x) represent the number of Euros you can buy with x dollars, and let g(x) represent the number of yen you can buy with x Euros. (a) Find a function that relates dollars to Euros. (b) Find a function that relates Euros to yen. (c) What is g(f(1000))?