Find the real values of x for which the function `f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x)` is defined

The function f(x)=cos(log(x+sqrt(x^2+1))) is :

The function f(x)=cos(log(x+sqrt(x^(2)+1))) is :

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

If [x] represent greatest interger lexand[alpha,beta] is the set of all real values of x for which the real function f(x)=(sqrt(3+x)+sqrt(3-x))/(sqrt([x]+2)) is defined then f^(2)(alpha+1)+5f^(2)(beta)=

Find the values of x for which the follwing function is defined: f(x)=sqrt(1)/(|x-2|-(x-2))

The function f(x) = cot^(-1) sqrt(x(x+3)) + cos^(-1) sqrt(x^(2) + 3x +1) is defined on the set S, where S is equal to