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Mark (√) against the correct answer in the following: Let f(x) = √log (2x – x2). Then, dom (f) = ? A. (0, 2) B. [1, 2] C. ( - ∞, 1] D. None of these |
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Answer» Correct Answer is (C) ( - ∞, 1] f(x) = √log (2x – x2). ⇒ 2x - x2 > 1 ⇒ x2 - 2x + 1 < 0 ⇒ (x - 1)2 < 0 ⇒ x - 1 < 0 ⇒ x < 1 log(2x - x2) > 0 ⇒ 2x - x2 > e0 = 1 ⇒ x < 1 Dom (f) = ( - ∞, 1) |
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