Traders often buy foreign currency in the hope of making money when the currency’s value changes. For example, on March 10, 2022, one U.S. dollar could purchase 0.9101 euro, and one euro could purchase 128.4337 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) Use the results of parts (a) and (b) to find a function that relates dollars to yen. That is, find (g º f)(x).

(d) What is (g º f)(1000)?