Q71.The domain of the function f(x) = sin−1[2x2 −3] + log2(log (x2 −5x + 5)), where 2 integer function, is 2 , 5+√52 ) 2 , 5−√52 (1) (−√5 ) (2) ( 5−√5 (3) (1, 5−√52 ) (4) [1, 5+√52 )
What This Question Tests
This question requires finding the domain by considering restrictions for both the inverse sine function (argument between -1 and 1) and the logarithmic function (argument positive and base positive/not 1), involving the greatest integer function.
Concepts Tested
Formulas Used
-1 ≤ [expression] ≤ 1 for sin^-1
log(base) [expression] > 0 for log functions
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Domain of a function
- Year
- 2022
- Shift
- 27 Jul Shift 2
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions; Class 11 Mathematics Ch 2: Relations and Functions
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