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# Opener - PowerPoint PPT Presentation

Work together. Use whiteboards. Use laptops. Find “f of g of x” & “g of f of x.” Form a conjecture based on your results. Opener. Use the resources on the internet and each other to help you relearn the concept. 1.6 Inverse Functions. SWBAT find the inverse of a function.

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Use whiteboards.

Use laptops.

Find “f of g of x” & “g of f of x.” Form a conjecture based on your results.

### Opener

Use the resources on the internet and each other to help you relearn the concept.

### 1.6 Inverse Functions

SWBAT find the inverse of a function.

SWBAT verify that two functions are inverses of each other.

Write down the date, Section #, Title and Learning Objective(s) into your notebook.

### Key Concepts

LISTEN

LOOK

Definition of Inverse of a Function: (composition)

Notation:

Read as “f-inverse.”

Write down what you want into “Key Concepts” as you Look & Listen.

### Key Concepts

LISTEN

LOOK

How to find the inverse of a function:

Rewrite “f(x)” into “y.”

Switch the “x” & “y.”

Solve for “y.”

Rewrite the “y” as “f-1(x).”

Write down what you want into “Key Concepts” as you Look & Listen.

### How do we get there?

LISTEN

LOOK

Find the inverse informally.

SWBAT find the inverse of a function.

### Now let’s try together.

Use whiteboards.

Find the inverse informally.

SWBAT find the inverse of a function.

### Now let’s try together.

Use whiteboards.

Find the inverse formally.

SWBAT find the inverse of a function.

### How do we get there?

LISTEN

LOOK

Find the inverse formally.

SWBAT find the inverse of a function.

### Now let’s try together.

Use whiteboards.

and

SWBAT verify that two functions are inverses of each other.

### How do we get there?

LISTEN

LOOK

and

SWBAT verify that two functions are inverses of each other.