Fr the function to be valid,
-1≤ 1+x22x ....(This is satisfied fr all x)
But, 1+x22x≤1
This is satisfied only fr x=1, 'coz the expression is never less than 1.
Also, x=1, is also satisfied for the required Sin(Cosx) ≥0.
So, x=1 seems to be the only domain on which the function is valid.