CPM Homework Banner

Home > A2C > Chapter 7 > Lesson 7.2.3 > Problem 7-132


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

  1. What are the domain and range of ?

    Which values of x 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 f(x).

  4. Find an expression for f(g(x)).

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


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

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