The compound noun "tax-cut" is a modern formation from two distinct and ancient roots. "Tax" originates from the Latin verb taxare, meaning to evaluate or assess, which evolved through Old French to signify a compulsory financial charge levied by a state. "Cut" is a common Germanic verb, entering English from Old Norse, broadly meaning to divide or reduce by severing. The logic of the compound is transparently literal: it combines the object ("tax") with the action applied to it ("cut"), directly signaling a reduction in a levied payment. This straightforward compounding reflects a pattern in Modern English for creating clear, self-explanatory terms for fiscal policy.

Structure: tax (payment) + cut (reduction) - tax: From Latin taxare ("to appraise, handle, censure"), via Old French. In this compound, it functions as the head noun specifying the object being reduced. - cut: From Middle English cutten, of uncertain origin, possibly from Old Norse. In this compound, it functions as the noun derived from the verb, indicating the act or result of reducing.