Assume you are exchanging currency in London airport. Currency exchange service there only makes transactions in which one of two currencies is British pounds, but you wish to exchange dollars for Euros. Hence you first require to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you wish to make exchange, function F for exchanging dollars for British pounds is given by formula
f(d) = 0.62d-1
and function for exchanging British pounds for Euros is provided by formula
g(p)= 1.29p-2
(Subtraction of 1 or 2 in number of British pounds or Euros which you receive is fee charged by currency exchange service for every transaction.)
a) Determine the formula for function which exchange dollars in return for Euros.
b) How many Euros would receive for exchanging 350 dollars after going through two step exchange process?
c) How many dollars would require to exchange to end up with 60 Euros after two step exchange process?