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

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

What I will learn:

  • Compute the inverse function for a given function

  • Verify if two functions are inverses


What do we remember about….

FUNCTIONS?


What do we remember about…

INVERSE?


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.

1.


1.

Step 1: Switch x and y

Step 2: Solve the equation for y


2.


How can we check?


Too easy?

Find the inverse function for:

3.


4.


Even harder!

5.


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