JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

If the function

f:R - \left\{ {1, - 1} \right\} \to A

defined by

f(x) = \frac{{{x^2}}}{{1 - {x^2}}}

, is surjective, then

A

is equal to

View answer and explanation

Correct option: C

R - \left[ { - 1,\,0} \right)

Option C (

R - [-1, 0)

) is correct because the range of the function

f(x) = \frac{x^2}{1 - x^2}

R - [-1, 0)

, and for a surjective function, the range equals the codomain.

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