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Prove that g is a one-to-one correspondence it is possible


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,

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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?

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Mathematics: Prove that g is a one-to-one correspondence it is possible
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