If `f(x) =(p-x^n)^(1/n)` ,`p >0` and` n` is a positive integer then `f[f(x)]` is equal to

if f(x)=(a-x^(n))^((1)/(n)), where a>0 and n is a positive integer,then f(f(x))=(i)x^(3)( ii) x^(2)( iii) x( iv )-x

If f(x)=(a-n^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :

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

If f(x)=(a-x^(n))^(1//n),"where a "gt 0" and "n in N , then fof (x) is equal to

Let P(x) be a polynomial such that p(x)-p'(x)= x^(n) , where n is a positive integer. Then P(0) equals-

If f(x)=(2011 + x)^(n) , where x is a real variable and n is a positive interger, then value of f(0)+f'(0)+ (f'' (0))/(2!)+...+ (f^((n-1))(0))/((n-1)!) is -f(0)+f'(0)+ (f'' (0))/(2!)+...+ (f^((n-1))(0))/((n-1)!) is -

If f(x)=(a-x^(n))^((1)/(n)),a>0 and n in N, then prove that f(f(x))=x for all x.

If (5+2sqrt(6))^(n)=m+f, where n and m are positive integers and 0<=f<=1, then (1)/(1-f)-f is equal to