To find \( (f + g)(0) \), you simply add the values of \( f(0) \) and \( g(0) \).

Given the tables:

\[
\begin{array}{c|c|c|c|c}
x & 0 & 1 & 2 & 3 \\
\hline
f(x) & 4 & 2 & 3 & 5 \\
g(x) & 1 & 2 & 3 & 0 \\
\end{array}
\]

For \( x = 0 \):
- \( f(0) = 4 \)
- \( g(0) = 1 \)

Now, calculate \( (f + g)(0) \):

\[
(f + g)(0) = f(0) + g(0) = 4 + 1 = 5
\]

So, \( (f + g)(0) = 5 \).

Would you like more details, or do you have any other questions?

Here are five related questions:
1. How would you calculate \( (f - g)(0) \)?
2. What is the value of \( (f + g)(x) \) for \( x = 1 \)?
3. How can you express \( (f + g)(x) \) generally?
4. What is the result of \( (f \times g)(0) \)?
5. What happens if \( f(x) \) and \( g(x) \) are the same for all \( x \)?

**Tip:** When adding functions, always ensure you match the corresponding \( x \) values before performing the addition!

Learn how to calculate (f + g)(0) by adding the values of f(0) and g(0). This example uses specific function values to illustrate the addition of functions conceptually. Suitable for high school students studying functions and basic algebra.

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