G6 - Mathematics 30-1 Module 7 G6 1 Assignment MODULE 7...

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Mathematics 30-1: Module 7 1 Assignment G6: MODULE 7 LESSON 6 ASSIGNMENT (Composition of Functions) /40 marks 1. Given f ( x ) 3 x 1 and g ( x ) x 2 , determine the simplified version of the following: a. f ( g (2)) Answer: (4) b. ( f g )( x ) Answer: (4) c. ( f 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 t )( x ) and ( t f )( x ). Which method of determining price results in a lower cost to you? Answer: (5) © 2012 Alberta Education
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Mathematics 30-1: Module 7 2 Assignment c. Suppose that taxes, by law, are not to be charged on delivery fees. Which composite function must then be used?
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