1. **State the problem:** We want to express the function $$h(x) = \sqrt[7]{x^8 - 4}$$ as a composition of two functions $$f$$ and $$g$$ such that $$h(x) = (f \circ g)(x) = f(g(x))$$. 2. **Identify inner and outer functions:** The expression inside the seventh root is $$x^8 - 4$$, so a natural choice is to let $$g(x) = x^8 - 4$$ be the inner function. 3. **Define the outer function:** Since $$h(x)$$ is the seventh root of $$g(x)$$, the outer function $$f$$ should be the seventh root function, which can be written as $$f(x) = x^{\frac{1}{7}}$$. 4. **Verify the composition:** Substituting $$g(x)$$ into $$f$$ gives: $$$ f(g(x)) = (x^8 - 4)^{\frac{1}{7}} = h(x) $$$ 5. **Final answer:** - $$f(x) = x^{\frac{1}{7}}$$ - $$g(x) = x^8 - 4$$ This expresses $$h$$ as the composition $$h = f \circ g$$.