Question

The domain of the function √(log_1/3 log₄ ([x]² - 5)) is (where [x] denotes greatest integer function)

(A) [–3, –2) ∪ [3, 4) 

(B) [–3, –2) ∪ (2, 3] 

(C) R – [–2, 3) 

(D) R – [–3, 3]

Answer 1

Correct Answer is: (A) [–3, –2) ∪ [3, 4) 

[x] always gives integer value so square of GTF will also give Integer value. In between 6 and 9 are only perfect square value possible.