To find \((f + g)(x)\), we need to add the two functions \(f(x)\) and \(g(x)\).

Given:
- \(f(x) = x + 3\)
- \(g(x) = x - 2\) (I assume there is a typo, and this is the correct expression for \(g(x)\)).

Now, let's calculate \((f + g)(x)\):

\[
(f + g)(x) = f(x) + g(x)
\]

\[
(f + g)(x) = (x + 3) + (x - 2)
\]

Simplifying the right-hand side:

\[
(f + g)(x) = x + x + 3 - 2 = 2x + 1
\]

So, \((f + g)(x) = 2x + 1\).

Would you like more details or further clarification?

Here are some related questions:
1. What is \((f - g)(x)\) for the given functions?
2. How would you compute \((f \cdot g)(x)\)?
3. What is \(\frac{f(x)}{g(x)}\) for these functions?
4. Can you find the composite function \(f(g(x))\)?
5. What happens if you graph both functions \(f(x)\) and \(g(x)\)?

**Tip:** Adding functions simply means adding their corresponding outputs for each value of \(x\).

Learn how to add the functions f(x) = x + 3 and g(x) = x - 2 and find (f + g)(x). This problem explores algebraic function addition with a step-by-step solution. Suitable for students in Grades 6-8.

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