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Iff S Tis onto and g T U and h T U are such that...

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Algebra

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Iff S Tis onto and g T U and h T U are such that gf h f prove that g h If g ST h S T and if f T U is 1 1 show that if f g f h then g h 6 Let S be the set of all real numbers and T the set of all positive reals Find a 1 1 mapping of S onto T such that f s1 s2 f s1 f s2 for all s1 s2 E S

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