How does Felix defend Prospero against the inmates’ distrust?

After Felix shows the inmates how many people Prospero imprisoned, they turn against him, but when he says that they should look at Prospero’s perspective, he shows them a man who had very little control, and a lot of dangers confronting him: the inhospitable island and then the danger of Caliban threatening to rape Miranda. He says that he had to stand up for himself and his daughter.