Chapter 1.1, Problem 56E

[T] An American tourist visits Paris and must convert U.S. dollars to Euros, which can be done using the function E(x) = 0.79x, where x is the number of U.S. dollars and E(x) is the equivalent number of Euros. Since conversion rates fluctuate, when the tourist returns to the United States 2 weeks later, the conversion from Euros to U.S. dollars is D(x) = 1.245x, where x is the number of Euros and D(x) is the equivalent number of U.S. dollars.

1. Find the composite function that converts directly from U.S. dollars to U.S. dollars via Euros. Did this tourist lose value in the conversion process?
2. Use (a) to determine how many U.S. dollars the tourist would get back at the end of her trip if she converted an extra $200 when she arrived in Paris.