If f(x) = (a - xn)1/n, then f(f(x)) =

Question

If f(x) = (a - xn)1/n, then f(f(x)) = (A) x (B) a-x (C) xn (D) x1/n

Tardigrade Admin · Accepted Answer

f(x)=(a-xn)1/n=y ∴ f(y)=(a-yn)1/n=[a-[(a-xn)(1/n)]n](1/n) =[a-(a-xn)](1/n)=(xn)1/n=x

Q. If $f (x) = (a - x^{n})^{1/ n}$ , then $f (f (x)) =$