'Let `A=R-{2}` and `B=R-{1}` . If `f: A-B` is a mapping defined by `f(x)=(x-1)/(x-2)`

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"Let `A=R-{2}`
and `B=R-{1}`
. If `f: A-B`
is a mapping defined by

`f(x)=(x-1)/(x-2)`
, show that `f`
is bijective."
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