He holds fast to his conviction that the world is out to get him. (There are two adverbs in this sentence.)

adverb = fast modifies holds
adverb = get modifies is

"I will never go there again," she said. (There are three adverbs in this sentence.)adverb = never modifies will
adverb = go modifies will
adverb = there modifies will

You're partly right. These are adverbs: fast, never, there.

In the first sentence "get" is part of an infinitive phrase. What do you think the other adverb is?

In the second sentences, "go" is the verb. What word tells when in this sentence?

adverb = out modifies is

adverb = never modifies will

Actually, in the sentence "I will never go there again," there is one adverb and two adverb phrases.

The adverb in the sentence is "never," which modifies the verb "go." It adds the meaning that the action of going will not happen at any time in the future.

The first adverb phrase is "there again," which modifies the verb "go" as well. It gives information about the location where the person will not go again.

The second adverb phrase is "will," which modifies the verb "go" and expresses the future tense of the action. "Will" indicates that the action of going has not taken place yet, but it will happen in the future.