Examples: cartography card archaeology archetype monarchy legal loyal purse personal cinema kinase car carpenter hippopotamus Mesopotamia dative data date
...
Italian ingaggiare
← French engager (borrowed)
← Italian in- (affix)
← Italian gaggio (affix)
← Italian -are (affix)

→ Italian ingaggio (back-formation)
→ Italian reingaggiare (affix)
→ Italian ingaggiatore (suffix)
→ Italian ringaggiare (prefix)