Let `f(x)=30-2x -x^3`, the number ofthe positive integral values of x which does satisfy `f(f(f(x)))) gt f(f(-x))` is

Let f(x)=30-2x -x^3 , the number of the positive integral values of x which does satisfy f(f(f(x)))) gt f(f(-x)) is _______.

let f(x)=x^(2)-3x+4 the values of x which satisfies f(1)+f(x)=f(1)*f(x) is

Let f(x)=x^(2)-3x+4, the value(s) of x which satisfies f(1)+f(x)=f(1)f(x) is

Let f(x) be a continuous function which takes positive values for xge0 and satisfy int_(0)^(x)f(t)dt=x sqrt(f(x)) with f(1)=1/2 . Then

Let f(x) be a continuous function which takes positive values for xge0 and satisfy int_(0)^(x)f(t)dt=x sqrt(f(x)) with f(1)=1/2 . Then

Let f(x)=1-x-4x^(3),f:R rarr R then find the number of integrality satisfying the inequality 4f(x)^(3)+f(1-2x)+f(x)<1

Let f(x)=(x^(2))/(9-x^(2)) and l= number of integers in the domain of f(x) where f(x) is increasing m= number of solutions of f(x)=sin xn= least positive integral value of k for which f(x)=k posses exactly 3 different solutions then

If f(x)=x^2-3x+4, then the value of x which satisfy the relation f(x) = f(2x+1) are___

Let f(x) = x^(3) e^(-3x) , x gt 0 . Then the maximum value of f(x) is: