One-to-One functions and their inverses

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the_slow1

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A car dealership advertises a 15% discount on all its new cars. In addition, the manufacturer offers a $1,000 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 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=f(g(x))

d) Find H^-1. What does H^-1 represent?

e) Find H^-1 ( 13000) . What does your answer represent?
 
What have you tried? I don't see your attempt at solving any of the problem statements.
 
i have no clue of solving these problems. I know how to solve them, but not when their in a word formatt type of problem. But anywhoo, i tried anyway. And here's what i got so far:

f(x)
= x (100% - 15%)
= x (85%)
= 0.85x
The purchase price function is f(x) = 0.85x.

that's for part a, if this is right, then i know how to do b and c. Part D, well, im not sure. Could you possibly be kind enough to give me a hint, please... :?
 
Good! So much for the "no clue" theory.

Function representing 15% discount.

f(x) = 0.85*x

Function representing $1000 discount

g(x) = x - $1000

Now what?
 
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