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Home > CALC > Chapter 3 > Lesson 3.4.3 > Problem 3-179

3-179.

Find the inverse of each of the following functions. Assuming that no domains are restricted, which of the following has an inverse function? How do you know?

  1. Let .

    Solve for .

    Switch the and .

  1. Do not forget the . What will the graph of the inverse look like? Will there be exactly one output for each input?

  1. To determine if the inverse is a function: Visualize! What does a cube root graph look like?

  1. If
    Then
    Note: is the reciprocal of , not the inverse!