Mathematics

Mathematics

Problem

A piecewise function g(x)g(x) consists of a horizontal line segment for xx in [−6,−2)[-6, -2) and a linear segment with positive slope for xx in [−2,4][-2, 4]. Determine the domain of the transformed function p(x)=g(x3)p(x) = g\left(\frac{x}{3}\right).

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