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Q.

The domain of f(x)=sin−1log3x23 is

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a

−∞,3

b

3,∞

c

−3,−1∪1,3

d

−9,−1∪1,9

answer is C.

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Detailed Solution

−1≤log3x23≤1⇒1≤x2≤9 x2-1≥0⇒x∈(-∞,1]∪[1,∞) x2-9≤0⇒x∈[-3,3]
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