Prove that g is a one-to-one correspondence

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Reference no: EM131168022

In S denotes the set of real numbers strictly between 0 and 1. That is, S = {x ∈ R | 0

Define a function g from the set of real numbers to S by the following formula:
For all real numbers x,

Prove that g is a one-to-one correspondence. (It is possible to prove this statement either with calculus or without it.) What conclusion can you draw from this fact?

Reference no: EM131168022

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