Find the domain of each of the following functions: `f(x)=1/(log_(10)(1-x))+sqrt(x+2)`

Find the domain of each of the following functions: f(x)=1/(sqrt(x+|x|))

Find the domain of each of the following function: f(x)=2^(sin^(-1)x)+1/(sqrt(x-2))

Find the domain of each of the following functions: f(x)=sqrt((log_(2)(x-2))/(log_(1//2)(3x-1)))

Find the domain of each of the following functions : f(x)=sqrt((log_(2)(x-2))/(log_((1)/(2))(3x-1)))

Find the domain of each of the following functions: f(x)=(sqrt(cosx-1/2))/(sqrt(6+35x-6x^(2))

Find the domain of definition of the following functions : f(x)=sqrt(log_((1)/(2))(2x-3))

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

Find the domain of definitions of the following function: f(x)=log_(10)(1-log_(10)(x^(2)-5x+16))

Find the domain of the following function f(x)(1)/(sqrt(x+|x|))

Find the domain of following functions: f(x)=1/(sqrt(x-[x]))