Let `f(x)=ax+b` with `a,b in R`, `f_(1)(x)=f(x)` and `f_(n+1)(x)=f(f_(n)(x)),n in N`, If `f_(7)(x)=128x+381`, Then `a+b` is

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

f:N to N, where f(x)=x-(-1)^(x) , Then f is

Let f(x)=(3)/(4)x+1,f^(n)(x) be defined as f^(2)(x)=f(f(x)), and for n>=2,f^(n+1)(x)=f(f^(n)(x)). If lambda=(lim)_(n rarr oo)f^(n)(x), then (a)lambda is independent of x( b) lambda is a linear polynomial in 4y=lambda touches the unit circle 0. (d)the line 4y=lambda touches the unit circle with centre at the origin.

Let f :R -{(3)/(2)}to R, f (x) = (3x+5)/(2x-3).Let f _(1) (x)=f (x), f_(n) (x)=f (f _(n-1) (x))) for pige 2, n in N, then f _(2008) (x)+ f _(2009) (x)=

For x in R , x ne0, 1, let f_(0)(x)=(1)/(1-x) and f_(n+1)(x)=f_(0)(f_(n)(x)),n=0,1,2….. Then the value of f_(100)(3)+f_(1)((2)/(3))+f_(2)((3)/(2)) is equal to

If f(x)=(a-x^n)^(1/n) then find f(f(x))

Let f(x)=(x-1)(x-2)(x-3)...(x-n),n in N, and f(n)=5040 Then the value of n is

Let f(x)=(x+1)/(x-1) for all xne1 . Let f^(1)(x)=f(x),f^(2)(x)=f(f(x)) and generally f^(n)(x)=f(f^(n-1)(x)) " for n"gt1 Let P=f^(1)(2)f^(2)(3)f^(3)(4)f^(4)(5) Which of the following is a multiple of P- (A) 125 (B) 375 (C) 250 (D) 147