Let `f(x)=x^2+kx;k` is a real number. The set of values of `k` for which the equation `f(x)=0 and f(f(x))=0` have same real solution set.

Let f (x) =x^(2)+ lamda x+ mu cos x, lamda being an integer and mu is a real number. The number of ordered pairs (lamda, mu) for which the equation f(x) =0 and f (f (x))=0 have the same (non empty) set of real roots is:

Let f (x) =x^(2)+ lamda x+ mu cos x, lamda being an integer and mu is a real number. The number of ordered pairs (lamda, mu) for which the equation f(x) =0 and f (f (x))=0 have the same (non empty) set of real roots is:

Let f(x)=x^(2)+ax+b cos x, a being an integer and b is a real number.Find the number of orderedpars (a,b) for which the equations f(x)=0 and f(f(x)=0 have the same (non-empty) set ofreal roots.

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

Let f(x)=sqrt(log_(10)x^(2)) then the set of all values of x for which f(x) is real is

The set of real values of x for which f(x)=(x)/(Logx) is increasing is

Let f (x) = x^(2)+10x+20. Find the number of real solution of the equation f (f (f (f(x))))=0

Let f (x) = x^(2)+10x+20. Find the number of real solution of the equation f (f (f (f(x))))=0

Let f (x)= x^3 -3x+1. Find the number of different real solution of the equation f (f(x) =0

Let f (x)= x^3 -3x+1. Find the number of different real solution of the equation f (f(x) =0