Question

You have a coupon for your favorite clothing store for $35 off any purchase of $70 or more. The store is running a 25% off sale on its entire inventory. Let x be the original price, f(x) be the price with the coupon applied, and g(x) be the price with the 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 discount and the coupon, does it matter which you apply first? How do you know?

Answer 1

\[f(x)\ge35\]

Answer 2

\[g(x)=x-25%\]

Answer 3

25% sorry