'Prove that `f: R-R` , given by `f(x)=2x` , is one-one and onto.'

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"Prove that `f: R-R`
, given by `f(x)=2x`
, is one-one and onto."
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Could you please help me with this question f(x)=x+|x| Determine whether or not f is onto

shivakumarkoppisetty
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2x is not onto, Co Domain is not equal to range, range is just a subset of CoDomain (R)

gouravlodha