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Inverse Functions

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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  1. Inverse Functions Algebra 2

  2. Warm Up Your Engine! • Solve the following equations. Show all work! 1. 2(x – 1) = 6 2. 3.

  3. Standard Course of Study Objective 2.01 Use the composition and inverse of functions to model and solve problems; justify results.

  4. Lesson Objectives What I will learn: • Compute the inverse function for a given function • Verify if two functions are inverses

  5. What do we remember about…. FUNCTIONS?

  6. What do we remember about… INVERSE?

  7. Let’s put those concepts together. Inverse Functions: Two functions that completely undo each other leaving only x.

  8. Examples: Find the inverse for the given function. 1.

  9. 1. Step 1: Switch x and y Step 2: Solve the equation for y

  10. 2.

  11. How can we check?

  12. Too easy? Find the inverse function for: 3.

  13. 4.

  14. Even harder! 5.

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