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Let SS Be the Set of All Nonzero Real Numbers gg From SS

Question 6

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Let SS be the set of all nonzero real numbers. Define a function gg from SS to SS by the formula g(x)=1xg ( x ) = \frac { 1 } { x } , for all nonzero real numbers xx .
(a) Show that gg is a one-to-one correspondence from SS to SS .
(b) Find g−1g ^ { - 1 } .

Correct Answer:

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a. Proof that g is one-to-one: Suppose x...

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