Composition of Functions - Real Life

Write the composition of functions that represents how much you would pay if you used the mail coupon FIRST, followed by applying the discount from the store. 

Simplify the function  $\left(g\degree f\right)\left(x\right),$ that represents how much you would pay if you used the mail coupon FIRST, followed by applying the store discount.

Write the composition of functions that represents how much you would pay if you used the store discount FIRST, followed by applying the coupon from the mail.

Simplify the function  $\left(f\degree g\right)\left(x\right),$ that represents how much you would pay if you used the store discount FIRST, followed by applying the coupon from the mail.

You found a pair of jeans for $36 originally. How much would you pay if you used the mail coupon first followed by the store discount (assuming no sales tax)?

You found a pair of jeans for $36 originally. How much would you pay if you used the store discount first followed by the coupon from the mail (assuming no sales tax)?

Which composition of functions will give you the better deal on the $36 jeans?

Which composition of functions will give you the better deal on the $36 jeans?

Calculate 1st part:

If you only have $40 with you, what's the most expensive pair of jeans you can purchase if you use coupon from mail first, followed by discount from store?

Calculate 2nd part:

If you only have $40 with you, what's the most expensive pair of jeans you can purchase if you use store discount first, followed by coupon from mail?

Looking at the graphs in your calculator, will the 2 graphs ever intersect?

Is there a "break even" point on the graph, where both methods would cost the same?

Which composition of functions will give you the better deal on jeans at this store?