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Let the function f(x) defined on f: R - {-1, 1} → A and f(x) = x2/(1 - x2). Find A such that f(x) is subjective.(1) R- [-1,0)(2) R -[-1, 1)(3) R - [ -1, 2)(4) R - [0, 1) |
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Answer» The correct option (1) R - [-1, 0) Explanation: f(x) = x2/(1 - x2) = y(2ay) ⇒ x2y - yx2 ⇒ x2 = y/(1 + y) ≥ 0 ⇒ y ∈ (-∞, -1) ∪ [0, ∞] Hence set A should be R - [-1, 0) |
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