The word 'traceable' is a modern English formation built upon the older verb 'trace'. The core root 'trace' originates from the Latin verb trahere, meaning 'to draw or pull', which evolved in Vulgar Latin to tractiare, 'to follow a track'. This entered English via Old French, carrying the sense of discovering or delineating a path. The suffix '-able', of Latin origin via French, is productively attached to verbs to create adjectives meaning 'capable of being [verbed]'. Thus, the literal morphemic logic of 'traceable' is 'capable of being traced', seamlessly connecting the ancient concept of drawing a line or following a track to the modern abstract meanings of detectability and attributable origin.

Structure: trace (follow, mark) + able (capable of) - trace: From Old French tracier, from Vulgar Latin tractiare, from Latin tractus (a drawing, track). Functional role: Core root conveying the sense of following a track or marking a path. - able: From Old French -able, from Latin -abilis (capable of, able to be). Functional role: Adjective-forming suffix indicating capacity or susceptibility.