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

MHT CET 2022 Mathematics question

If the function defined by is surjective, then A is equal to

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

For a surjective function the codomain A must equal the range. Let . Solving for : . For a real x we need , i.e. , which holds for or . Also would need , which is

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Question ID VK-095967