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f: R->R is defined by f(x)=(e^x^2-e^-x^2...

`f: R->R` is defined by `f(x)=(e^x^2-e^-x^2)/(e^x^2+e^-x^2)` is (a) one-one but not onto (b) many-one but onto (c) one-one and onto (d) neither one-one nor onto

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Verified by Experts

We have,

`f(x)=frac{e^{x^{2}}-e^{-x^{2}}}{e^{x^{2}}+e^{x^{2}}} `

`Rightarrow text { Here, }-2,2 in R`

Now, `2 equiv-2`

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