Let `f (x) = |x – 2|` and `g(x) = f(f(f(f...(f(x)))..)`. If the equation `g(x) =k, k in (0,2)`has 8 distinct solutions then the value n is equal to

If f(x)=|x-1|" and "g(x)=f(f(f(x))) , then for xgt2,g'(x) is equal to

If f(x)=|x-1|" and "g(x)=f(f(f(x))) , then for xgt2,g'(x) is equal to

If f(x)=sin x and g(x)=f(f(f,.....(f(x)))) then value of g'(0)+g''(0)+g'''(0) equals

Let f(x)=(e^(x))/(x^(2))x in R-{0}. If f(x)=k has two distinct real roots,then the range of k, is

Two distinct polynomials f(x) and g(x) defined as defined as follow : f(x) =x^(2) +ax+2,g(x) =x^(2) +2x+a if the equations f(x) =0 and g(x) =0 have a common root then the sum of roots of the equation f(x) +g(x) =0 is -

Let f(x)=2+x, x>=0 and f(x)=4-x , x < 0 if f(f(x)) =k has at least one solution, then smallest value of k is

Suppose that f(0)=0 and f'(0)=2, and g(x)=f(-x+f(f(x))). The value of g'(0) is equal to -

Let f (x) =(2 |x| -1)/(x-3) Range of the values of 'k' for which f (x) = k has exactly two distinct solutions:

Let f (x) =(2 |x| -1)/(x-3) Range of the values of 'k' for which f (x) = k has exactly two distinct solutions: