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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.

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.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
Transcribed Image Text: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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