Saved Bookmarks
| 1. |
If `[.]` denotes the greatest integer less than or equal to x and (.) denotes the least integer greater than or equal to x, then domain of the function `f(x)=sin^(-1){x+[x]+(x)}` isA. `x in {0}`B. `x in [0,1]`C. `x in (-1,0]`D. `x in phi` |
|
Answer» Correct Answer - A `-1lex+[x]+((x)le1` case 1: if `x in I` `-1le3xle1,-(1)/(3)lexle(1)/(3)` `x=0` case ii: if `x cancel(in)I` `(x)=[x]+1` `becausex+[x]+(x)=x+2[x]+1` `because-1lex+2px]+1le1` `-2ltx+2[x]le0` if `xlt0` `x+2[x]lt-2` if `xge0,x+2[x]ge0` No solution |
|