The discussion revolves around the composite functions f o g (x) = Abs(x), f(x) = root(x), and g(x) = Abs(x). Participants debate whether f(x) should be equal to sqrt(x) or if g(x) should be sqrt(x) instead. Clarifications are made regarding the correct interpretation of the problem, with some suggesting that if f o g (x) = Abs(x), then f(x) could be x^2 and g(x) = sqrt(x). The domain of g is noted as x ≥ 0, leading to the conclusion that x = |x| in this context. The conversation emphasizes the importance of correctly identifying the functions involved in the composite.
