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8-12.

A table can be used as a useful tool for finding some inverse functions. When the function has only one x in it, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for .

1st

2nd

3rd

4th

What f does to x:

subtracts

multiplies by

adds


Since the inverse must undo these operations, in the opposite order, the table for would look like the one below.

1st

2nd

3rd

4th

What does to :

subtracts

divides by

adds

  1. Copy and complete the following table for .

    1st

    2nd

    3rd

    4th

    What g does to x:

    adds

    divides by

    subtracts

    What g−1 does to x:

    1st: adds 2
    2nd: multiplies by 3
    4th: subtracts 1

  2. Write the equations for .

    What is the correct domain for this inverse function?