The domain of the function f(x)=1−1−1−x2 is

(x) is defined if 1−1−1−x2≥0,1−1−x2≥0 and 1−x2≥01−x2≥0⇒(x+1)(x−1)≤0⇒−1≤x≤1Clearly for these values, the other two inequalities hold.Thus domain of f = [– 1, 1].