( f + g ) (x) = f(x) + g(x)             x + 2 + 2x - 5

Let's break down the expression step by step.

You have two parts here:
1. The general form of a function addition: \((f + g)(x) = f(x) + g(x)\).
2. An algebraic expression: \(x + 2 + 2x - 5\).

### Simplifying the Algebraic Expression:
Let's simplify the expression \(x + 2 + 2x - 5\):

1. Combine the like terms:
   - \(x + 2x = 3x\)
   - \(2 - 5 = -3\)

So, the simplified expression is:
\[
3x - 3
\]

### Final Answer:
The expression \(x + 2 + 2x - 5\) simplifies to \(3x - 3\).

Would you like more details or have any questions? 

Here are some related questions:
1. What is the process of combining like terms?
2. How do you find the derivative of the function \(f(x) = 3x - 3\)?
3. How can you represent the sum of two functions \(f(x)\) and \(g(x)\)?
4. How would you graph the function \(f(x) = 3x - 3\)?
5. How do you solve the equation \(3x - 3 = 0\)?
6. What does the expression \((f + g)(x)\) mean in terms of function operations?
7. How would you simplify the expression \(2x - 5 + 4x + 1\)?
8. Can you explain what like terms are in an algebraic expression?

**Tip:** Always group and simplify like terms in algebraic expressions to make them easier to work with.

Explore how to add functions and simplify algebraic expressions with a detailed step-by-step explanation. This problem involves basic algebraic operations and function addition concepts, suitable for students in Grades 7-9.

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