The domain of the function `f(x)=1/(sqrt({sinx}+{sin(pi+x)}))`where `{ – InterviewSolution

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1.	The domain of the function `f(x)=1/(sqrt({sinx}+{sin(pi+x)}))`where `{dot}`denotes the fractional part, is`[0,pi]`(b) `(2n+1)pi/2, n in Z``(0,pi)`(d) none of these
Answer» `f(x)=(1)/(sqrt({sinx}+{sin(pi+x)}))=(1)/(sqrt({sinx}+{-sinx}))` Now, `{sinx} +{-sinx}={(0",",sinx " is an integer"),(1",", sinx " is not an integer"):}` For f(x) to get defined, `{sinx} +{-sin} ne 0` or ` sinx ne ` integer or `sinx ne +-1,0` or ` x ne (n pi)/(2), n in I`

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