The number of elements in the domain of the function `f(x)=sin^(-1)((x – InterviewSolution

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1.	The number of elements in the domain of the function `f(x)=sin^(-1)((x^2-2x)/3)+sqrt(([x]+[-x]))`, (where [.] denotes the greater integer function) isequal toa. 4b. 6 c. 3 d. 5A. 6B. 4C. 3D. 5
Answer» Correct Answer - D `f(x)=sin^(-1)((x^(2)-2x)/(3))+sqrt([x]+[-x])` `sin^(-1)((x^(2)-2x)/(3))"is denfined for"-1le(x^(2)-2x)/(3)le1` and `sqrt([x]-[-x])` is defined only for integral values of x `rArr" "x=-1,0,1,2,3`

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