This question tests your understanding of verb patterns after "would like" and the correct form to express a past unrealized wish.

Key Concept: After the phrase "would like," we must use the infinitive form "to + verb." However, when expressing a wish about a past event that did not happen, we use the perfect infinitive "to have + past participle."

Step-by-Step Explanation:

Step 1: Identify the main structure. The sentence begins with "I would like..." This phrase is always followed by an infinitive.

Step 2: Analyze the context. The first sentence, "It must have been an interesting performance," uses "must have been," which is a deduction about a past event. This tells us the performance is already over.

Step 3: Determine the meaning. The speaker is expressing a wish that they had attended the performance in the past. Since the event is finished, we need to show that the action (going) was in the past.

Step 4: Apply the correct grammatical form. To express a past wish after "would like," we use the perfect infinitive: to have + past participle (e.g., to have gone).

Why the other options are incorrect:

• to be there: This is a present/future infinitive. It suggests a desire for a current or future event, but the performance is already over.
• having gone: "Would like" cannot be followed by a gerund (-ing form). It must be followed by an infinitive.
• to go: This is a simple infinitive, which also refers to a present or future action, not a past one.

Final Answer: The most appropriate word to fill in the blank is to have gone.
The complete sentence is: I would like to have gone.

Related Topic: Verb Patterns

Different verbs and expressions in English are followed by specific verb forms (e.g., infinitive, gerund, or base form). "Would like" is one of many expressions that is strictly followed by the infinitive with "to."

Related Topic: Expressing Past Wishes

We often use the structure "would like to have + past participle" to talk about something we wanted to do in the past but did not get the chance to do. It expresses a sense of regret or missed opportunity about a past event.

Formula:

Subject + would like + to have + past participle

Example: I would like to have seen that movie. (But I didn't.)