6-6 Function Operations

6-6 Function Operations

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Agenda

• Do Now (3 minutes)

• Function operations (10 minutes)

• Composite functions (10 minutes)

Multiple Choice

f(x)= 4x-7

g(x)= 6x-8

Find f(x)+g(x)

• 2x+15

• 10x-15

• -2x-15

• 10x+1

Multiple Choice

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

• -32

• -3

• -12

• 3

Multiple Choice

Given f(x) = 3x² + 1, what is f(t + 2)?

• 3t² + 3

• (3t + 2)² + 1

• 3(t + 2)² + 1

• none of these

Let f(x) = 4x + 7 and g(x) = √x + x. What is f - g? What is its domain?

f - g = 
domain of f(x):
domain of g(x):
domain of f + g:

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Poll

How much did you understand on a scale of 1-4?

• 1

• 2

• 3

• 4

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Poll

How much did you understand on a scale of 1-4?

• 1

• 2

• 3

• 4

Open Ended

What do you notice/wonder?

f(x) = 2x - 5

f(1) = 2(1) - 5

f(2) = 2(2) - 5

f(3) = 2(3) - 5

f(x + 1) =

f(x^2) =

Composite functions