• # question_answer Which of the following intervals is a possible domain of the function $f\,(x)={{\log }_{\{x\}}}[x]+{{\log }_{\{x\}}}\{x\}?$ Where [x] is the greatest integer function and {x} is the fractional part of x. A) (0, 1)                 B) (1, 2) C) (2, 3)     D) (3, 6)

[c] We have, $f(x)={{\log }_{\{x\}}}[x]+{{\log }_{[x]}}\{x\}$ $[x]>1x\in /$integer $\therefore$$x\in (2,3)$ only satisfy the option.