1. Find (f + g)(x), (f – g)(x), (f · g)(x), and 𝑓 𝑔 (𝑥) for f(x) = x – 2 and g(x) = 2x – 7.
Problem of the Day

2. Section 6-1b Operations on Functions

3. Then
Now
Objectives
You found the sum, difference, product, and quotient of functions.
Find the composition of functions.

4. Common Core State Standards
Content Standards
F.IF.9 – Compare properties of two functions each represented in a different way.
F.BF.1.b – Combine standard function types using arithmetic operations.
Mathematical Practices
2) Reason abstractly and quantitatively.
Common Core State Standards

6. For the pair of functions, find f[g(x)] and g[f(x)]
For the pair of functions, find f[g(x)] and g[f(x)]. 𝑓 𝑥 = 𝑥 2 +2 and 𝑔 𝑥 =𝑥−6
Example 3

7. For the pair of functions, find f[g(x)] and g[f(x)]
For the pair of functions, find f[g(x)] and g[f(x)]. 𝑓 𝑥 = 3𝑥 2 −𝑥+4 and 𝑔 𝑥 =2𝑥−1
Example 3

8. For the pair of functions, find f[g(x)] and g[f(x)]
For the pair of functions, find f[g(x)] and g[f(x)]. 𝑓 𝑥 = 2𝑥 2 −𝑥+1 and 𝑔 𝑥 =4𝑥+3 𝑓 𝑥 =𝑥−4 and 𝑔 𝑥 = 𝑥 2 −10
Example 3

9. p.390 #27, 29, 31, 35
Homework