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a
−6,−23∪23,6
b
−6,−23
c
23,6
d
−6,−23∩23,6
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Correct option is A
We have f(x)=sin−1log9x24 The domain of sin−1x is [−1,1] . Therefore, f(x)=sin−1log9x24 is defined if−1≤log9x24≤1⇒ 9−1≤x24≤91⇒ 49≤x2≤36⇒ 23≤|x|≤6⇒ x∈−6,−23∪23,6 (∵a≤|x|≤b⇔x∈[−b,−a]∪[a,b]) Hence, the domain of f(x) is −6,−23∪23,6 .Similar Questions
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