The word "unfixable" is a modern English construction built from three distinct layers. Its core, "fix," originates from the Latin verb figere, meaning "to fasten or attach," which itself may trace back to the Proto-Indo-European root dʰeygʷ-, "to stick, to fix." The suffix "-able," of Latin origin, was added to create "fixable," meaning "capable of being fastened or repaired." Finally, the Old English negative prefix "un-" was attached, a common Germanic particle of negation. Thus, the literal morphemic sequence "not + capable of being fastened" evolved logically into the modern abstract sense of something that cannot be mended, corrected, or secured.

Structure: un (not) + fix (fasten/repair) + able (capable of) - un: A prefix of Germanic origin (Old English un-), meaning "not." It functions as a negative particle. - fix: A verb of Latin origin (from fixus, past participle of figere "to fasten, attach"). It functions as the core root meaning "to make firm or stable" or "to repair." - able: A suffix of Latin origin (via Old French -able, from Latin -abilis), meaning "capable of, fit for." It functions to form adjectives.