Step 3
Compose the functions to apply the coupon and then the discount.
Step 4 Subtract the functions to find how much more you would pay if the cashier applies the coupon first.
You pay $.50 more if the cashier applies the coupon first.
✓ Got It?
- A store is offering a 15% discount on all items. Also, employees get a 20% employee discount. Write composite functions
- to model taking the 15% discount and then the 20% discount.
- to model taking the 20% discount and then the 15% discount.
- Reasoning If you were an employee, which discount would you take first? Why?
✓ Lesson Check
Do you know HOW?
Let
Do you UNDERSTAND?
-
Error Analysis Your friend used some simple functions and found that
- Open-Ended Find two functions f and g such that f(g(x)) = x for all real numbers x.
Practice and Problem-Solving Exercises
A Practice
See Problems 1 and 2.
Let f(x) = 7x
+ 5 and
Let
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions