1.

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)

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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