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For each of the following functions, indicate whether the function has a well-defined inverse. If the inverse is well-defined, give the input/output relationship of f-1.

(A) f: {0, 1}3{0, 1}3. The output of f is obtained by taking the input string x, removing the first bit of x, and adding the bit to the end of x. For example, f(011) = 110.

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