Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = x^3 + 4 and g(x) = cuberoot(x-4)

Answer 1

i know how to tell if they are inverses but I don't know how to show it the way they want me to.

Answer 2

f(g(x))=((x-4)^(1/3))^3+4=x-4+4=x
g(f(x))=(x^3+4-4)^(1/3)=(x^3)^(1/3)=x
so f and g are inverses.

Answer 3

Ohhhhhh wow thanks! :)