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Let `f : R->R` be a function defined by `f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x))` then --(1) f is bijection (2) f is an injection only (3) f is a surjection (4) f is neither injection nor a surjection

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Verified by Experts

Option D is correct
For `x<0`
`f(x)=0`
For `x>0`
`f(x)=(e^x+e^(−x))/(e^x−e^(−x))​`
`=(e^x+e^(−x))/(e^x+e^(−x))​−(2e^(−x))/(e^x+e^(−x))​`
`=1−(2e^(−x))/(e^x+e^(−x))​`
...
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