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Inverse Processes/Inverse Functions. B. A. Process A and process B are obviously “inverse” operations. The second “undoes” what the first “does.” . Suppose we carry out these processes, one after the other. . B. A. Where does this leave us?.

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B

A

Process A and process B are obviously “inverse” operations. The second “undoes” what the first “does.”

slide4

Suppose we reverse the order in which we carry out our processes?

A

B

Now where do we end up?

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A function can be thought of as a process that we implement when we start with one number and end up with another number.

Inversefunctions are inverse processes . The second “undoes” the work of the first. Moreover, when we implement one and then the other, we end up back where we started.

And it doesn’t matter which order we use.

Implementing one process and then the other is just function composition.

If we compose a function with its inverse, we get back what we started with.

And it doesn’t matter which order we use.