2) A car dealership advertises a 15% discount on all its new cars. In addition, the manufacturer offers a $1000 rebate on the purchase of a new car. Let x represent the sticker price of the car.
a. Suppose only the 15% discount applies. Find a function f that models the purchase price of the car as a function of the sticker price x.
b. Suppose only the $1000 rebate applies. Find a function g that models the purchase price of the car as a function of the sticker price x.
c. Find a formula for H=fᵒ g.
d. Find H-1. What does H-1 represent?
e. Find H-1(13,000). What does your answer represent?
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