1.

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

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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