You have a coupon for your favorite clothing store for $20 off any purchase of more than $75. The store is also running a 15%-off sale on its entire inventory. Let x be the original price, f x( ) be the price with the $20 coupon applied, and g x( ) be the price with the 15% discount applied. (a) Write an expression for f x( ) . (3 points)

(b) Write an expression for g x( ) . (3 points)

(c) Write the expression (f g x )( ) and explain what it represents? (3 points)

(d) Write the expression (g f x )( ) and explain what it represents? (3 points)

(e) If the store allows you to apply both the 15% discount and the $20-off coupon, does it matter which you apply first? How do you know? (3 points)