Inverse functions
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Inverse Functions. Algebra 2. Warm Up Your Engine!. Solve the following equations. Show all work! 1. 2(x – 1) = 6 2. 3. . Standard Course of Study. Objective 2.01 Use the composition and inverse of functions to model and solve problems; justify results. Lesson Objectives.

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Inverse Functions

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Inverse functions

Inverse Functions

Algebra 2


Warm up your engine

Warm Up Your Engine!

  • Solve the following equations. Show all work!

    1. 2(x – 1) = 6

    2.

    3.


Standard course of study

Standard Course of Study

Objective 2.01

Use the composition and inverse of functions to model and solve problems; justify results.


Lesson objectives

Lesson Objectives

What I will learn:

  • Compute the inverse function for a given function

  • Verify if two functions are inverses


What do we remember about

What do we remember about….

FUNCTIONS?


What do we remember about1

What do we remember about…

INVERSE?


Let s put those concepts together

Let’s put those concepts together.

Inverse Functions: Two functions that completely undo each other leaving only x.


Examples find the inverse for the given function

Examples: Find the inverse for the given function.

1.


Inverse functions

1.

Step 1: Switch x and y

Step 2: Solve the equation for y


Inverse functions

2.


How can we check

How can we check?


Too easy

Too easy?

Find the inverse function for:

3.


Inverse functions

4.


Even harder

Even harder!

5.


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