The function f(x)=240x represents the cost of staying at a particular hotel for x nights at the full room rate of $240 per night. The hotel gives its rewards members a discount based on the length of their stay. Each additional night that rewards members stay earns them an additional 5% discount on the total cost of their stay up to a 30% discount. The function d(x)=0.05(x-1) for 1 < x ≤ 7 represents the percentage discount in decimal form for a rewards member staying x nights at the hotel. (a) Write an equation in simplified form to represent (fd)(x).
(b) Evaluate (fd)(4), and explain what this value represents.
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