Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)2 + (x + 1) | ?

Choose the inner expression g(x) = x + 1, since it appears wherever the original expression has (x + 1). The outer function is then f(x) = |2x² + x|, so f(g(x)) = |2(x + 1)² + (x + 1)|. This matches choice D.

AI-written and checked against the verified answer.