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5-Minute Check Lesson 1-2A. 1-2 Composition of Functions. Function Operations Composition of Functions Domains of Composite Functions. Lesson 1-2. Composition of Functions Essential Questions What are the 5 ways you can combine 2 functions? How do we solve a composite function?

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1 2 composition of functions

1-2 Composition of Functions

Function Operations

Composition of Functions

Domains of Composite Functions

lesson 1 2
Lesson 1-2

Composition of Functions Essential Questions

  • What are the 5 ways you can combine 2 functions?
  • How do we solve a composite function?

Vocabulary

  • Composition
  • Composite
  • Iterations
  • Seed Value
slide4

c. (fg)(2)

d. (f+g)(0)

inverse functions
Inverse Functions:
  • Given f(x) = x/3 +2, find the inverse of f(x), and show that the two functions are inverse functions.
  • Two functions f and g are inverse functions if and only if [f o g] (x) = [g o f] (x) = x
domains of composite functions
Domains of Composite Functions
  • Find the domain of (f o g)(x) if

f(x) =

g(x) =

assignment
Assignment:
  • In book: p17: 11-29 odd, 32
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