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

Find the number of distinct real solutions of the equation f(f(x))=0, where f(x)=x^(2)-1

Let f(x)=x+sin x. Find the number of solutions of f(x)=f^(-1)(x)

If f(x)={0,x<1 and 2x-2,x<=1 then the number of solutions of the equation f(f(f(x)))=x is

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

If f(x)=x^(3)-3x+1, then the number of distinct real roots of the equation f(f(x))=0 is

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.

(c) quad If f(x)={[-x;,xlt0|x-2|;,xgt=0 ,then find the number of solutions of the equation f(f(x))=1

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_(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...... .