In the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store, you find that all jeans are 25% off. Define two functions that represent the two types of discounts separately. Let f(x) be the dollars off and g(x) be the percent off. Then choose which composition of functions gives you the best price for a $40 pair of jeans. Then state what that best price is exactly.

1.) Composition of functions: Type in f(g(x)) or g(f(x)):

2.) Price of a pair of Jeans: $

3.) What is the difference in the the two prices? $

assuming f and g calculate the discounted price, then

f(x) = x-5
g(x) = 0.75x
now see what you can do with that

1.) Composition of functions: To find the best price, we can define two functions separately. Let f(x) represent the dollars off and g(x) represent the percent off.

- f(x): Represents the dollars off from the coupon. In this case, the coupon gives $5 off.
- g(x): Represents the percent off from the store discount. In this case, all jeans are 25% off.

To find the composition of functions, we need to determine whether we first apply the percent off and then the dollars off (g(f(x))) or vice versa (f(g(x))).

2.) Price of a pair of Jeans: The original price of the jeans is $40.

3.) Difference in the two prices: To find the difference in the two prices, we need to calculate the original price minus the best price obtained from the composition of functions.