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JEE MATHEMATICS MCQ: FUNCTIONS

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If the function f:R−{1,−1}→A\mathrm{f}: \mathrm{R}-\{1,-1\} \rightarrow \mathrm{A} defined by f(x)=x21−x2f(x)=\frac{x^2}{1-x^2}, is surjective, then A\mathrm{A} is equal to:
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Correct option: C
R−[−1,0)\mathrm{R}-[-1,0)
Option C (R-[-1,0)) is correct because the range of the function is all real numbers except for the interval [-1, 0).

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