Mathematics 30-1: Module 7 1 Assignment G6: MODULE 7 LESSON 6 ASSIGNMENT (Composition of Functions) 140 marks 1. Given f(x) = 3x + 1 and g(x) = x2, determine the simplified version of the following: a. f(g(2) ) Answer: (4) b. (fog) ( x ) Answer: (4) C. (fo f) (x ) Answer: (4) 2. You make a purchase at a local furniture store, but what you bought is too big to take home in your car. You arrange to have the store deliver your purchase for you, for a reasonable fee. You pay for your purchase, plus the sales tax, plus the fee. The tax is 5% and the fee is $50. a. Write a function t(x) for the total, after taxes, on the purchase amount x. Write another function f(x) for the total, including the delivery fee, on the purchase amount x. Answer: (5) b. Calculate and interpret (f o t)(x) and (to f)(x). Which method of determining price results in a lower cost to you