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.