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

Find the number of real roots of the equation f(x) =x^(3) + 2x^(2) +x +2 =0

If f(x)=2x^(3)-3x^(2)+1 then number of distinct real solution (s) of the equation f(f(x))=0 is/(are) k then (7k)/(10^(2)) is equal to_______

For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Find the number of real roots of the equation f(f (.....(f(x)).....)= ({-x} where f is applies 2013 times and {.} denotes fractional part function.

let f (x) = int _(0) ^(x) e ^(x-y) f'(y) dy - (x ^(2) -x+1)e ^(x) Find the number of roots of the equation f (x) =0.

Let f be a differentiable function satisfying f '(x) =2 f(x) +10 AA x in R and f (0) =0, then the number of real roots of the equation f (x)+ 5 sec ^(2) x=0 ln (0, 2pi) is:

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2)(0)=1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

Let f(x)=x^(2)-x+1, AA x ge (1)/(2) , then the solution of the equation f(x)=f^(-1)(x) is

Let f(x)=2x+1. AA x in R , then the solution of the equation f(x)=f^(-1)(x) is