find the domain and range of the following functions : `f(x)=sqrt(sin^-1(log_2(x)))`

Find the domain and range of the following functions: f(x)=sqrt(x-3)

Find the domain and range of the following functions. f(x)=sqrt(x-1)

Find the domain and range of the following function f(x)=sqrt(x-1)

Find the domain and range of the following function : f(x) =sqrt (x-1) .

Find the domain and range of the following functions: f(x)=sqrt(log_(2)(x^(2)+1))

Find the domain and range of the following functions: sqrt(1-x^(2))

Find the domain and range of the following function: f(x)=sin^(-)[log_(2)((x^(2))/2)] , where [.] denotes greatest integer function.

Find the domain and range of the following function: f(x)=cos^(-1)sqrt(log_([x])(|x|)/x) , whre [.] denotes the greatest integer function.

Find the domain and range of the following function : f(x) =1 /(sqrt (x+2)) .

Find Domain of the following function : f(x)=sin^(-1)(log_2(x^2/2))