If the function f ,: ,R - , 1, - 1 A defined by f ,(x) , = x^2 1 … - Vidyadip

MCQ

If the function $f\,:\,R - \,\{ 1, - 1\} \to A$ defined by $f\,(x)\, = \frac{{{x^2}}}{{1 - {x^2}}},$ is surjective, then $A$ is equal to

✓
$R\, - \,[ - 1,0)$
B
$R\, - \,( - 1,0)$
C
$R\, - \,\{ - 1\} $
D
$[0,\infty )$

✓

Answer

Correct option: A.

$R\, - \,[ - 1,0)$

a
$y\, = \frac{{{x^2}}}{{1 - {x^2}}}$

Range of $y : R - [ - 1,0)$ for surjective function, $A$ must be same as above range.

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