Find the domain of defination of the 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 definition of the function : f(x)= sqrt(1+ log_e (1-x)) is :

Find the domain of definitions of the following function: f(x)=log_(10)(1-log_(10)(x^(2)-5x+16))

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

Find the domain of the function : f (x)= (sin^(-1)x)/([x]) .

The domain of definition of the function f(x)= sin^(-1){log_(2)((x^(2))/(2))} , is

Find the domain of definition of the function f (x) given by : f(x) = log_4 {log_5 (log_3(18x-x^2-77))} .

The domain of definition of function f(x)=log(sqrt(x^(2)-5x-24)-x-2) , is

The domain of the function f(x) = 1/(sqrt(|x|-x)) is :