The domain of the function defined by f(x)=sin−1√x−1 is
(a) [1, 2] (b) [−1, 1] (c) [0, 1] (d) None of these
(a) ∵ f(x)=sin−1√x−1⇒ 0≤x−1≤1 [∵ √x−1≥ 0 and −1≤√x−1≤1]⇒ 1≤x≤2⇒ x∈[1, 2]
The domain of the function f(x)=1log10(1−x)+√x+2 is
The domain of the function f(x)=loge(x2+x+1)+sin√x−1 is
The domain of the function f(x)=sin−1(log2(x22))is
Find the domain of f(2x - 1) if the domain of f(x) is [-1,1]