The domain of f(x) =log sin-1 x2+x+1log (x2-x+1) is

Here , log ( x2-x+1) is defined , when x2-x+1>0 and x2-x+1≠0⇒x∈R and x≠0 ,1⇒x∈R-{ 0,1}Again ,log (sin -1x2+x+1) exists , when 0< x2+x+1≤1⇒x2+x≤0 ⇒ x ∈[-1 , 0] x ∈ [-1, 0]