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

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 f(x)=sqrt((x+2)(5-x))-(1)/(sqrt(x^(2)-4))- is a real function is

Let f(x)=a^(x)-x ln a,a>1. Then the complete set of real values of x for which f'(x)>0 is

Let f(x)=a^x-xlna , a>1. Then the complete set of real values of x for which f'(x)>0 is

The true set of real values of x for which the function f(x)=x ln x-x+1 is positive is

Let f(x)=a^(x)-x ln a, a> 1. Then the complete set of real values of x for which f(x)>0 is (a)(1,oo)(b)(-1,oo)(c)(0,oo)(d)(0,1)

The true set of real values of x for which the function f(x)=xlnx-x+1 is positive is

The true set of real values of x for which the function f(x)=xlnx-x+1 is positive is

The true set of real values of x for which the function, f(x) = x ln x – x + 1 is positive is

the set of real values of x for which f(x ) = (x ) /( log x) is increasing is :