Find the range of (i)` f(x)=|x-4|/(x-4)` and domain of (ii) `f(x)=1/(log_10 (1-x))+sqrt(x+2)`

Find domain of the function f(x)=(1)/(log_(10)(1-x))+sqrt(x+2)

Find the domain and range of f(x)=|x-1|

The domain of f(x)=sqrt(x-2)+(1)/(log(4-x)) is

Find the domain of the function f(x) = (1)/(log_(10) (1- x)) + sqrt(x + 3)

Domain of f(x)=log(1-x)+sqrt(x^(2)-1)

Find the domain of f(x) =sqrt(4-x) +1/sqrt(x^2 -1)

Find the domain and range of f(x)=(x)/(1+x^(2))

Find the domain of the following: (i) f(x) = (1)/(log_(10) (1-x)) + sqrt(x+2) (ii) f(x) = sqrt(1-2x) + 3 sin^(-1) ((3x-1)/(2))