AP Calculus Slides September 19, 2007

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Darren Kuropatwa

Review of function composition and the composition of inverse functions.

Technology Education

Rotate the graph 180°.
Identical graphs
means the function is
are odd.

You can download the SMARTboard software here:

Given the function

Explain how you know that h has an inverse function.

Find a formula for .

Given: and

Determine a formula for the inverse function .

Write a simplified formula for the composite function

Determine the domain of

Suppose ƒ and g are inverses of each other. What is true about their
composition?

Given:

Find:

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1. Rotate the graph 180°. Identical graphs means the function is are odd. You can download the SMARTboard software here:

2. Given the function Explain how you know that h has an inverse function. Find a formula for .

3.

4. Given: and Determine a formula for the inverse function . Write a simplified formula for the composite function Determine the domain of

5. Suppose ƒ and g are inverses of each other. What is true about their composition?

6. Given: Find: