Which of the following intervals is a possible domain of the function

1.	Which of the following intervals is a possible domain of the function f (x) = log{x} [x] + log[x] {x}, where [x] is the greatest integer not exceeding x and {x} = x – [x] ? (A) (0, 1) (B) (1, 2) (C) (2, 3) (D) (3, 5)
Answer» Correct Option :- (C) (2, 3) Explanation :- x∉I & [x] > 1 ⇒ x∈(2, 3) only option satisfy.

Which of the following intervals is a possible domain of the function f (x) = log{x} [x] + log[x] {x}, where [x] is the greatest integer not exceeding x and {x} = x – [x] ? (A) (0, 1) (B) (1, 2) (C) (2, 3) (D) (3, 5)

Answer»

Correct Option :- (C) (2, 3)

Explanation :-

x∉I & [x] > 1

⇒ x∈(2, 3) only option satisfy.

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Which of the following intervals is a possible domain of the function f (x) = log{x} [x] + log[x] {x}, where [x] is the greatest integer not exceeding x and {x} = x – [x] ? (A) (0, 1) (B) (1, 2) (C) (2, 3) (D) (3, 5)

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