A store has issued two different coupons for its customers to use. One coupon gives customers $20 off their purchase price, and the other coupon gives customers 30% off of their purchase. The store allows customers to use both coupons and choose which coupon to apply first. For this context, ignore sales tax. Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "30% off" coupon.
a. Suppose a customer wants to purchase a $120 item and apply the "$20 of coupon first and then the 30% off" coupon. How much will the item cost after applying the coupons?
b. Suppose a customer wants to purchase a $120 item and apply the "S20 off coupon frst and then the 30% of coupon. Ue function notation to represent how much the item will cost (dollars) after applying the coupons.
c. Suppose a customer wants to purchase a $120 item and apply the 30% of coupon first, and then the $20 off coupon. How much will the item cost after applying the coupons.
d. Suppose a customer wants to purchase a $120 item and apply the 30% of coupon first, and then the $20 of coupon. Use, function notation to represent how much the item will cost (dollars) after applying the coupons.