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Home > CCA2 > Chapter 6 > Lesson 6.2.3 > Problem 6-132

6-132.

Use  to complete parts (a) through (e) below.

  1. What are the domain and range of ?

    Which values of will cause the square root expression to be undefined?

  2. What is the inverse of ? Call it .

    If , then switch the and the in . Solve for .

  3. What are the domain and range of ?

    Switch the domain and range of .

  4. Find an expression for .

    Substitute the equation that you found in part (b) for in .

    Simplify.

  5. Find an expression for . What do you notice? Why does this happen?

    See part (d). What relationship do have with each other? (What is the relationship between two inverses?)