Question

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

f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.

Answer 1

\(\Large f(x) = x^3 + 4\)
\[\Large g(x) = \sqrt[3]{x-4}\]
Let's do f(g(x)) and see if we get x.
f(g(x)) means that we're taking g(x) and plugging it into f wherever there was an x.