Step 1: Analyze the Coordination Complex.
The coordination compound is \( [\text{Rh}(CO)_2I_2]^-\). It contains:
- Two carbonyl (\(CO\)) ligands.
- Two iodido (\(I\)) ligands.
- The metal ion is rhodium (Rh) in the \(+1\) oxidation state.
Step 2: IUPAC Naming Conventions.
- The name of the metal is "rhodium" and the oxidation state is indicated in Roman numerals as \( \text{Rh}(I) \).
- The ligands are named in alphabetical order. The "carbonyl" ligand (CO) is named first, followed by "iodido" (I).
- The prefix "bis" is used when there are two identical ligands (in this case, iodido).
Step 3: Conclusion.
Therefore, the IUPAC name is "carbonylbisiodidorhodium(I)", corresponding to option (3).