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Prove that the function f: Q->Q given...

Prove that the function `f: Q->Q` given by `f(x)=2x-3` for all `x in Q` is a bijection.

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Given `f(x)=2x−3`
Let `x_1=x_2`
`2x_1=2x_2`
`2x_1–3=2x_2–3`
`f(x_1)=f(x_2)`
...
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