Correct answer: both sigma and pi bonding
In Fe(CO)5, the bonding between iron and carbon involves both sigma and pi interactions. The sigma bond is formed by the overlap of the iron's d-orbitals with the carbon's sp-hybridized orbitals, while the pi bonds arise from the donation of electron density from the filled p-orbitals of carbon to the empty d-orbitals of iron, allowing for a stable complex.