Word problem

Question

The store is offering a 15% discount on all items. You have a coupon worth $2 off any item. Let X be the original cost of an item. Use a composition of functions to find a function c(x) that gives the final cost of an item if the discount is applied first and then the coupon. Then use this function to find the final cost of an item originally priced at $10

Answer 1

g(x) = x - 2                  This is for the coupon

f(x) = 0.85g(x)                This is for the discount

 

c(x) = f o g(x)

c(x) = 0.85(x - 2)          You determine the value for x = 10.