nonfeasance (n.)

a prefix used freely in English and meaning "not, lack of," or "sham," giving a negative sense to any word, 14c., from Anglo-French noun-, from Old French non-, from Latin non "not, by no means, not at all, not a," from Old Latin noenum "not one" (*ne oinom, from PIE root *ne- "not" + PIE root *oi-no- "one, unique"). In some cases perhaps from Middle English non "not" (adj.), from Old English nan (see not). "It differs from un- in that it denotes mere negation or absence of the thing or quality, while un- often denotes the opposite of the thing or quality" [Century Dictionary].

"the performance of an obligation," 1530s, from Anglo-French fesance, from Old French faisance "action, deed, enactment," from faisant, present participle of faire "to make, do," from Latin facere "to make, do" (from PIE root *dhe- "to set, put").