Find the domain of each of the following functions: `f(x)=ln[x^(2)+x+1]`, where [.] GIF

Find the domain of each of the following functions: f(x)=sqrt(x+2)

Find the domains of the following functions f(x) = log|x|

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

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

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

Find the domain of definition of the following functions : (x)/(log(1+x))

Find Domain of the following function : f(x)=sin^(-1)[2x^2-3] , where [.] devotes G.I.F.