Question

A new store opens in New York. You received a coupon for $5.00 off a pair of jeans j(x) = x-5. When you get to the store you learn that they are giving a 25% discount d(x)=.75x

a) Write a composite function for the cost of the jeans if the 25% discount is applied after the $5.00 coupon

b) Write a composite function for the cost of the jeans if the 25% discount is applied before the $5.00 coupon

c) Using both composite functions determine what you will pay for a pair of jeans with a regular price of $30.00? Which is a better deal?

Answer 1

(a) d(j(x)) = .75(j(x)) = .75(x-5)
(b) j(d(x)) = d(x)-5 = .75x - 5
(c) go for it