If f : R → R be defined by f(x) = (3 - x3)1/3, then find fof(x).

Question

Philoid · Accepted Answer

we have f(x) = (3 - x3)1/3f(x) = (3 - x3)1/3f(f(x)) = [3 - {(3 - x3)1/3}3]1/3fof(x) = [3 - (3 - x3)]1/3= [3 - 3 + x3)1/3= (x3)1/3Hence, fof(x) = x

If f : R → R be defined by f(x) = (3 - x³)^1/3, then find fof(x).