receivable adj.

c. 1300, receiven, "take into one's possession, accept possession of," also in reference to the sacrament, from Old North French receivre (Old French recoivre) "seize, take hold of, pick up; welcome, accept," from Latin recipere "regain, take back, bring back, carry back, recover; take to oneself, take in, admit," from re- "back," though the exact sense here is obscure (see re-) + -cipere, combining form of capere "to take" (from PIE root *kap- "to grasp").

From c. 1300 as "welcome (in a specified manner)." From early 14c. as "catch in the manner of a receptacle." From mid-14c. as "obtain as one's reward." From late 14c. as "accept as authoritative or true;" also late 14c. as "have a blow or wound inflicted." Radio and (later) television sense is attested from 1908. Related: Received; receiving. Receiving line is by 1933.

Other obsolete English verbs from the same Latin word in different forms included recept "to receive, take in" (early 15c., recepten, from Old French recepter, variant of receter and Latin receptus). Also compare receipt, which also had a verb form in Middle English, receiten.

common termination and word-forming element of English adjectives (typically based on verbs) and generally adding a notion of "capable of; allowed; worthy of; requiring; to be ______ed," sometimes "full of, causing," from French -able and directly from Latin -abilis. It is properly -ble, from Latin -bilis (the vowel being generally from the stem ending of the verb being suffixed), and it represents PIE *-tro-, a suffix used to form nouns of instrument, cognate with the second syllables of English rudder and saddle (n.).

A living element in English, used in new formations from either Latin or native words (readable, bearable) and also with nouns (objectionable, peaceable). Sometimes with an active signification (suitable, capable), sometimes of neutral signification (durable, conformable). It has become very elastic in meaning, as in a reliable witness, a playable foul ball, perishable goods. A 17c. writer has cadaverable "mortal."

To take a single example in detail, no-one but a competent philologist can tell whether reasonable comes from the verb or the noun reason, nor whether its original sense was that can be reasoned out, or that can reason, or that can be reasoned with, or that has reason, or that listens to reason, or that is consistent with reason; the ordinary man knows only that it can now mean any of these, & justifiably bases on these & similar facts a generous view of the termination's capabilities; credible meaning for him worthy of credence, why should not reliable & dependable mean worthy of reliance & dependence? [Fowler]

In Latin, -abilis and -ibilis depended on the inflectional vowel of the verb. Hence the variant form -ible in Old French, Spanish, English. In English, -able tends to be used with native (and other non-Latin) words, -ible with words of obvious Latin origin (but there are exceptions). The Latin suffix is not etymologically connected with able, but it long has been popularly associated with it, and this probably has contributed to its vigor as a living suffix.