The domain of the function `f(x)=sin^(-1)("log"_(2)(x^(2))/(2))` is gi – InterviewSolution

InterviewSolution

1.	The domain of the function `f(x)=sin^(-1)("log"_(2)(x^(2))/(2))` is given by…
Answer» Correct Answer - Domain ` in [-2, -1] cup [1,2]` Given, `f(x)= sin^(-1)("log"_(2)(x^(2))/(2))` For domain `-1 le "log"_(2)(x^(2))/(2) le 1` `rArr (1)/(2) le (x^(2))/(2) le 2` `rArr 1 le x^(2)le 4` `implies 1 le \|x\| le 2 ` `implies "Domain " in [-2, -1] cup [1,2] `

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