Question

You make a purchase at a local hardware store, but what you've bought is too big to take home in your car. for a small fee, you arrange to have the hardware store deliver your purchase for you. You pay for your purchase, plus the sales taxes, plus the fee. The taxes are 7.5% and the fee is $20.

1. Write the 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.

2. Calculate and interpret f∘t and t∘f. Which results in a lower cost to you?

3. Suppose taxes by law are not to be charged on delivery fees. Which composite function must then be used? Explain you answer.

Answer 1

f(x+4)

Answer 2

You make a purchase at a local hardware store, but what you've bought is too big to take home in your car. For a small fee, you arrange to have the hardware store deliver yourpurchase for you. You pay for your purchase, plus the sales taxes, plus the fee. The taxes are 7.5% and the fee is $20.