The complex is composed of two ions: [Ag(H2O)2]+ and [Ag(CN)2]-. To properly name this complex, we need to name each ion separately according to IUPAC conventions.
Combining these, the complete IUPAC name is diaquasilver(I) dicyanidoargentate(I), which aligns with the correct answer given.

Nomenclature of Coordination Compounds is important in Coordination Chemistry because of the need to have an unambiguous method of describing formulas and writing systematic names, particularly when dealing with isomers.