What influence did the greek epics written by homer have on roman culture?
they led roman historians to question their loyalty to the roman gods.
they caused roman historians to disagree over the origins of roman culture.
they inspired virgil to compose an epic poem about roman history.
they caused cato to blame the greeks for the loss of values in roman society.

In general, Greek culture had a great influence in Roman one, but regarding this question, it's said that Virigil, by writing the Aeneid, tried to compete with Homero's Odyssey and Iliad, both of them two of the greats poets in Classic history. Baring this in mind, the correct answer for this question is: They inspired Virgil to compose an epic poem about Roman history.