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 euryinus; 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
in giant 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 ill treat you well,
praying the god of earthquake to befriend you -
his son i am, for he by his avowal
sfathered 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 because Odysseus blinded him. He wants to regain his sight (by the help of his father, the god of earthquake) and avenge himself. The other options are incorrect. The Cyclops is not known for following Greek customs of hospitality (he ate Odysseus' men earlier). He doesn't fear harm if he doesn't befriend Odysseus - rather, he wants to take revenge. And taking revenge is part of regaining his sight (as he thinks his father might heal him if he gets Odysseus) and avenging the blinding.

Answer:

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