Domain of the function `f(x) =log_(0.5) (3x-x^(2)-2)`

Domain of the function, f(x)=[log_10 ((5x-x^2)/4)]^(1/2) is

The domain of the function f(x)=(log_(4)(5-[x-1]-[x]^(2)))/(x^(2)+x-2) is (where [x] denotes greatest integer function)

The domain of the function: f(x)=log_(3) [-(log_(3) x)^(2)+5 log_3x-6]" is :"

The domain of the function f(x)=sqrt(-log_(0.3) (x-1))/(sqrt(-x^(2)+2x+8))" is"

The domain of the function f(x)=log_(10)[1-log_(10)(x^(2)-5x+16)] is

Domain of the function f(x)=(1)/(log(2-x)) is

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Domain of the function f(x) = (x+0. 5)^log(0. 5+x)((x^2+2x-3)/(4x^2-4x-3)))

The domain of the function f(x)=log_(3)[1-log_(6)(x^(2)-7x+16)] is

Find the domain of the function : f(x)=sqrt(((log)_(0. 3)|x-2|)/(|x|))