Composition of Functions · Exercise 89

Use $f\left(x\right)=x^3+1$ and $g\left(x\right)=\sqrt[3]{x-1}.$

Let $f\left(x\right)=\frac{1}{x}.$

ⓐFind $\left(f\circ f\right)\left(x\right).$
ⓑIs $\left(f\circ f\right)\left(x\right)$ for any function $f$ the same result as the answer to part (a) for any function? Explain.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §3.4 Composition of Functions · Exercise 89