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The image you've uploaded contains a lesson on performing addition on functions. Here's a breakdown of the key points:

### Concept:
If \( f(x) \) and \( g(x) \) are any two functions, their sum, denoted by \( (f + g)(x) \), is the function defined by:

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

### Example 1:
Given \( f(x) = x + 4 \) and \( g(x) = 2x + 1 \), find \( (f + g)(x) \).

**Solution:**
\[
(f + g)(x) = f(x) + g(x)
\]
\[
(f + g)(x) = (x + 4) + (2x + 1)
\]
\[
= x + 2x + 4 + 1
\]
\[
= 3x + 5
\]

### Example 2:
Given \( f(x) = x^2 + 3 \) and \( g(x) = 2x - 7 \), find \( (f + g)(x) \).

**Solution:**
\[
(f + g)(x) = f(x) + g(x)
\]
\[
(f + g)(x) = (x^2 + 3) + (2x - 7)
\]
\[
= x^2 + 2x + 3 - 7
\]
\[
= x^2 + 2x - 4
\]

### Exercises:
Answer the following problems:

1. Given \( f(x) = x^2 + 6x + 4 \) and \( g(x) = x^2 + 5 \), find \( (f + g)(x) \).
2. Given \( f(x) = 3x + 10 \) and \( g(x) = x - 5 \), find \( (f + g)(x) \).

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Would you like me to help you solve these exercises or provide more detailed explanations on any part? 

Here are five related questions to think about:
1. How do you apply function addition when dealing with more complex polynomials?
2. Can function addition be applied to functions involving fractions or radicals?
3. How does function subtraction work in comparison to function addition?
4. What happens when you add two functions with different domains?
5. How does the degree of the resulting polynomial change after function addition?

**Tip:** Always simplify the resulting expression after adding functions, and ensure like terms are properly combined.

Perform addition on functions f(x) and g(x), where f(x) and g(x) are provided in the problem.

Learn how to perform addition on functions with examples and exercises. This lesson is perfect for students in Grades 7-9 who want to master the concept of function addition in algebra.

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