SOLUTION: Show that f(x)=∛(x+2) and g(x)=x^3-2 are inverses.

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Question 954685: Show that f(x)=∛(x+2) and g(x)=x^3-2 are inverses.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%2B2%29%5E%281%2F3%29 and g%28x%29=x%5E3-2

Composite of them should be x.

f%28g%28x%29%29=%28%28x%5E3-2%29%2B2%29%5E%281%2F3%29
%28x%5E3-2%2B2%29%5E%281%2F3%29
%28x%5E3%29%5E%281%2F3%29
x%5E%283%281%2F3%29%29
x%5E1=x

You should also check g(f(x)) just to be sure.