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

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 function: f(x)=2^(sin^(-1)x)+1/(sqrt(x-2))

Find the domain of each of the following functions: f(x)=(x^(3)-5x+3)/(x^(2)-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 the following functions. f(x)=log_(3+x)(x^(2)-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 the following functions. f(x)=log_(e)=(2+x)/(2-x)

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

Find the domain of each of the following functions given by f(x)=1/(sqrt(x-|x|)) (ii) f(x)=1/(sqrt(x+|x|)) (iii) f(x)=1/(sqrt(x-[x])) (iv) f(x)=1/(sqrt(x+[x]))

Find the domain of the following functions. f(x)=sin^(-1)log_(2)""(x)/(3)