The domain of fx=cos-12-x4+log3-x-1 is

cos-12-x4   exists   if        -1≤2-x4≤1or         -6≤-x≤2or        -2≤x≤6or       x≤6or     -6≤x≤6The function log3-x-1=1log3-x is defined if 3-x>0 and x≠2  i.e., if x≠2 and x<3.Thus, the domain of the given function is x|-6≤x≤6∩x|x≠2,x<3=-6,2∪2,3