Question: How do I show this? 3. (1) Consider A = [0, 1] and B = [0, 1) and injections f(x) = x/3 from A to

How do I show this?

3. (1) Consider A = [0, 1] and B = [0, 1) and injections f(x) = x/3 from A to Band g(x) = x from B to A. Construct a bijection h from A to B such that on some points of A, h(x) = f(x), and for the other points of A, h(x) = g-1(x). (2) Consider A = [0, 1] and B = [0, 1) and injections f(x) = x/3 from A to B and g(x) = x/2 from B to A. Construct a bijection h from A to B such that on some points of A, h(x) = f(x), and for the other points of A, h(x) = g-1(x)

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