Traders often buy foreign currency in hope of making money when the currency's value changes. For example,
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Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on June 5, 2009, one U.S. dollar could purchase 0.7143 Euros, and one Euro could purchase 137.402 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 ° f)(x) = g(f (x)).
(d) What is g(f(1000))?
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