Question

read the excerpt from the odyssey.
at this he gave a mighty sob and rumbled:
now comes the weird upon me, spoken of old.
a wizard, grand and wondrous, lived here—telemus,
a son of eurynus; great length of days
he had in wizardry among the cyclopes,
and these things he foretold for time to come:
my great eye lost, and at odysseus’ hands.
always i had in mind some giant, armed
ingiant force, would come against me here.
but this, but you—small, pitiful and twiggy—
you put me down with wine, you blinded me.
come back, odysseus, and i’ll treat you well,
praying the god of earthquake to befriend you—
his son i am, for he by his avowal
fathered me, and if he will, he may
heal me of this black wound—he and no other
of all the happy gods or mortal men.
why does the cyclops invite odysseus back to the
island?
he is trying to regain his sight and avenge himself
upon odysseus.
he wants to obey the greek custom of providing food
and shelter to guests.
he fears far more harm will come to him if does not
befriend odysseus.
he wants to take revenge on odysseus.

Explanation:

The Cyclops is angry about being blinded by Odysseus. He wants to regain his sight (mentions a wizard - his father - might heal him) and take revenge (avenge himself) on Odysseus. The text "Come back, Odysseus, and I'll treat you well... heal me of this black wound" shows his intention related to his sight and revenge. The other options are incorrect: Cyclops are not known for following Greek guest - host customs (they are wild), and there's no indication of fear in the text for the third option.

Answer:

He is trying to regain his sight and avenge himself upon Odysseus.