Let f and g be bijections, f : S S T and g: T S U. Then f

Chapter 5, Problem 52

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Let f and g be bijections, f : S S T and g: T S U. Then f 1 and g1 exist. Also, g + f is a bijection from S to U. Show that (g + f ) 1 = f 1 + g1 .

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