The largest set of real values of `x` for which `f(x)=sqrt((x + 2)(5-x))-1/sqrt(x^2-4)`- is a real function is

The largest set of real values of x for which ln(1+x)<=x is

The set of real values of x for which 2^("log"_(sqrt(2))(x-1)) gt x+ 5, is

The set of real values of x for which 2^("log"_(sqrt(2))(x-1)) gt x+ 5, is

The real values of a for which y=sqrt(((x+1)(x-3))/(x-2)) takes real values are

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)=

The set of all real values of x for which the funciton f(x) = sqrt(sin x + cos x )+sqrt(7x -x^(2) - 6) takes real values is

The set of all real values of x for which the funciton f(x) = sqrt(sin x + cos x )+sqrt(7x -x^(2) - 6) takes real values is

The set of all real values of x for which the funciton f(x) = sqrt(sin x + cos x )+sqrt(7x -x^(2) - 6) takes real values is

The largest domain for the real valued function given by f(x) =(sqrt(16-x^(2)))/(sqrt(x^(2)-1)) is: