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))`

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

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

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

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

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

The domain of the function f(x) = sqrt(sin^(-1)(log_(10)x)) is

Find the domain of the following functions :(i)f(x)=sqrt(2x1)+sqrt(3-2x)

Find the domain of definition of the following functions : (i) f(x) = log_(10) sin (x-3) + sqrt(16 - x^(2)) (ii) f(x) = sqrt((4- |x|)/(7-|x|)) (iii) f(x) = (1)/(sqrt([|x|-1]|-5)) where [x] denotes the greatest integer function.