## anonymous one year ago 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.

$$\large\color{slate}{\displaystyle f(x)=x^3+4}$$ $$\large\color{slate}{\displaystyle g(x)=\sqrt[3]{x-4}}$$ yes, these functions are indeed inverses of each other. ---------------------------------------------- for f(g(x)) part, you need to plug in $$\sqrt[3]{x-4}$$ for x, into the f(x). for g(f(x)) part, you need to plug in $$x^3+4$$ for x, into the g(x).