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Finding sets and functions

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(See attached file for full problem description with equations)

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Let .

(a) Find the set of points at which .
(b) Let . Find a set V such that f takes U onto V in a one-to-
one fashion and the inverse function g on V.
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Solution Summary

This shows how to find a set of points and a one-to-one function with given properties.

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Please see the attached file.

(a) We get , . Then we have

So the set of points with ...

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