outface v.

in Old English a common prefix with nouns, adjectives, adverbs, and verbs, "out, outward, outer; forth, away," from out (adv.). The use was even more common in Middle English, and also with the senses "outer, outside, on the outside, from without, external, externally; apart; greatly, extremely; completely, thoroughly, to completion." Other senses of out that extended into the use as a prefix include "beyond the surface or limits; to the utmost degree; to an explicit resolution."

In composition out has either its ordinary adverbial sense, as in outcast, outcome, outlook, etc., or a prepositional force, as in outdoors, or forms transitive verbs denoting a going beyond or surpassing of the object of the verb, in doing the act expressed by the word to which it is prefixed, as in outrun, outshine, outvenom, etc. In the last use especially out may be used with almost any noun or verb. [Century Dictionary]

"confront with assurance; show a bold face," mid-15c., from face (n.). From c. 1400 as "deface, disfigure." Meaning "to cover with something in front" is from 1560s; that of "turn the face toward" is from 1630s; meaning "be on the opposite page to" is from 1766. Intransitive sense "to turn the face" (especially in military tactics) is from 1630s. Related: Faced; facing. To face the music (1850, in U.S. Congressional debates) probably is theatrical rather than a reference to cavalry horses.