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The problem asks to find \( (f + g)(4) \) given the following functions:

- \( f(x) = x^2 - 2 \)
- \( g(x) = 5x + 4 \)

To solve this, follow these steps:

1. **Add the two functions**:  
   \( (f + g)(x) = f(x) + g(x) \)  
   Substituting the given expressions:  
   \( (f + g)(x) = (x^2 - 2) + (5x + 4) \)  
   Simplifying this:  
   \( (f + g)(x) = x^2 + 5x + 2 \)

2. **Evaluate at \( x = 4 \)**:  
   Now, substitute \( x = 4 \) into the expression for \( (f + g)(x) \):  
   \[
   (f + g)(4) = 4^2 + 5(4) + 2 = 16 + 20 + 2 = 38
   \]

Therefore, the answer is \( (f + g)(4) = 38 \).

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What is \( (f - g)(4) \) for the given functions?
2. How do you find \( (f \times g)(x) \) for two functions?
3. What is the derivative of \( f(x) + g(x) \)?
4. What happens when you evaluate \( f(x) \) and \( g(x) \) at \( x = 0 \)?
5. How would you find \( (f + g)(x) \) if both functions were logarithmic?

**Tip**: Always simplify the combined function before plugging in values for easier calculations.

Given that f(x) = x^2 - 2 and g(x) = 5x + 4, find (f + g)(4), if it exists.

Learn how to find the value of (f + g)(4) given f(x) = x^2 - 2 and g(x) = 5x + 4. This problem covers function addition and substitution, suitable for Grades 8-10.

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