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Question
Find the domain of `f(x) =2cos^-1 2x+sin^-1x.`
Solution
For `2cos^-1 2x` to be defined.
`-1<=2x<=1`
`=>-1/2<=x<=1/2` .....(i)
For `sin^-1x` to be defined.
`-1<=x<=1` .....(ii)
Domain of `f(x) = [-1/2,1/2]cap[-1,1]`
`=[-1/2,1/2]`.
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