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To solve part (d), \((g(2))^{-1}\), we need to determine the value of \(g(2)\) from the table, then find the inverse value corresponding to that result for \(g^{-1}\).

### Step-by-Step Solution:

1. **Find \(g(2)\):**  
   Look up the value of \(g(x)\) when \(x = 2\) in the table. From the table,  
   \[
   g(2) = 3.
   \]

2. **Find the inverse \(g^{-1}(3)\):**  
   Now, we need to find the value of \(x\) such that \(g(x) = 3\). From the table,  
   \[
   g(x) = 3 \text{ when } x = 2.
   \]

   Therefore,  
   \[
   g^{-1}(3) = 2.
   \]

### Conclusion:

The value of \((g(2))^{-1}\) is \(2\).

If you have any further questions or want more details, feel free to ask!

### Related Questions:

1. What is the general method for finding inverses of functions?
2. How do you compute compositions of functions using tables?
3. What are some examples of functions where the inverse is not well-defined?
4. Can you explain how to determine whether a function is invertible from a table?
5. What are some practical applications of inverse functions in real life?

### Tip:

Always check the domain and range of a function to ensure the inverse is valid and within the correct values.

How to solve (g(2))^-1 using the given table of functions f and g.

Learn how to solve the inverse of (g(2)) using a function table. This problem covers essential concepts in functions, including finding function inverses and applying composition. Suitable for high school students, Grades 9-12.

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