The story
- Proto-Indo-European*né
- Proto-Indo-European*n̥-
- Proto-Germanic*un-
- Proto-West Germanic*un-
- Old Englishun-
- Middle Englishun-
- Englishun-
- Englishobjection
- Englishobjectionable
- English todayunobjectionable
From un- + objectionable.
Etymology from Wiktionary, CC BY-SA 4.0.