Answer to Question #55779 in Algebra for Oliver Swanick

Question

: you have a coupon for your favorite clothing store for $ 25 off any purchase of more than $50. The store is also running a 20%- off sale on its entire inventory. Let x be the original price, f(x) be the price with the 4 25 coupon applied, and g(x) be the price with the 20% discount applied.

a. Write an expression for f(x)

b. Write an expression for g(x)

c.What would the expression (f o g)(x) represent?

d. What would the expression (g o f)(x) represent?

e. If the store allows you to apply both the 20% discount and the $25- off coupon, does it matter which you apply first? How do you know ?