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Inverse Functions Defined

Answers to Self Test

1.

Since the composition of the functions does not give x, the functions are not inverses of each other.

2.

Since the composition of the functions gives x, the functions are inverses of each other.

3.

Since the composition of the functions gives x, the functions are inverses of each other.

4.

Applying the vertical line test to the graph of the inverse we can see that it is a function.

5.

Applying the vertical line test to the graph of the inverse we can see that it is not a function.