Employees of a local car dealership receive a choice of two incentives when buying a car. They can have a discount of 6% or receive $2,000 off the price of the car. All employees must then pay 6% sales tax. The following functions model the price of the car after each incentive, as well as the price of the car after sales taxes. 6% discount, f(x) = 0.94x
$2,000 off, g(x) = x – 2000
Sales tax, h(x) = 1.06x
Using the function composition of the sales tax function and one of the incentives, which composition will produce the lowest price on a car priced at $30,000?
a.) g(h(x))
b.) h(f(x))
c.) h(g(x))
d.) f(h(x))