After a visit to a local furniture store, Zoe finds that the furnitures that she has purchased are too big to take home in her car. The store offers delivery service at a cost of $50. It is known that the taxes are 13% in that region. (a) Write a function t(x) to represent the total, after taxes, on the payment amount x.. (b) Write a function f(x) to represent the total payment that includes the additional delivery fee and the purchase amount x. (c) Show that f(t(x))=1.13x+50 and t(f(x))=1.13x+56.5. (d) Suppose taxes are not to be charged on delivery fees. Which function, f(t(x)) or t(f(x)) represents the amount that Zoe has to pay? Explain briefly.

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