Question 45520
f(x) = x^3 + 1; g(x) = (x-1)^(1/3) 
f(g(x)) = f((x-1)^1/3)^3 + 1 = x-1 + 1 = x
g(f(x)=g(x^3 + 1) = [(x^3+1-1)^(1/3)]=[x^3]^(1/3) = x 

Your conclusion is correct but I have adjusted your
posting.

Cheers,
Stan H.