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  • Find the domain of the function f(x)=sin^-1 (2x-3).

Find the domain of the function f(x)=sin^-1 (2x-3).

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Solution  :  The domain of  sin^-1x is [-1,1] . Therefore ,f(x)=sin^-1(2x-3)

              is defined  forall x  satisfying

           Rightarrow     -1leq (2x-3)leq 1Rightarrow xin[1,2]

           Hence , domain of  f(x)=sin^-1(2x-3) is [1,2].

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Deependra Verma

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