Solve this following

Question:

If the function $f: \mathrm{R}-\{1,-1\} \rightarrow \mathrm{A}$ defined by

$f(\mathrm{x})=\frac{\mathrm{x}^{2}}{1-\mathrm{x}^{2}}$, is surjective, then $\mathrm{A}$ is equal to

  1. $\mathrm{R}-[-1,0)$

  2. $\mathrm{R}-(-1,0)$

  3. $R-\{-1\}$

  4. $[0, \infty)$


Correct Option: 1

Solution:

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