Q:

Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each useddrone he sells, where x is the original value of the drone. The function g(x) = 1.08x is used todetermine the amount a customer pays for a drone at Jim’s store including 8% sales tax.Write a function to determine the total amount a customer pays for a used drone at Jim’sstore including 8% sales tax.

Accepted Solution

A:
Each used drone is sold at a cost of f(x) = 0.7x + 23 dollars. A customer also has to pay 8% sales tax on that cost. The function g(x) = 1.08x gives us the final cost of a used drone including the tax. So we'll apply the g(x) upon the f(x) to get the final cost for each drone. It would be

g(f(x)) = 1.08(0.7x + 23)
= 0.756x + 24.84

So the answer is h(x) = 0.756x + 24.84