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Home > A2C > Chapter 11 > Lesson 11.3.1 > Problem 11-132


For the function, complete parts (a) through (d) below.

  1. Sketch the graph and the inverse.

    First, graph the function. Then, reflect the graph across
    y = x.

  2. Find the equation of the inverse function.

    Replace f(x) with y, then switch the variables.

    Now solve for y.

    Do not forget to replace y with .

  3. Determine the domain and range of the inverse.

    See graph in part (a).

  4. Compute .

    Substitute for in the function . Now substitute the answer you found for for in the inverse function
    f −1(x).