F ( X ) = X +3 G ( x ) = 2 X + 7 H ( X ) = X SQUARE HOW TO DO THIS

You seem to have three functions given: \( F(X) \), \( G(X) \), and \( H(X) \). Let's go over how to handle each function and work with them step by step:

### 1. The Functions:
- \( F(X) = X + 3 \)
- \( G(X) = 2X + 7 \)
- \( H(X) = X^2 \)

### 2. Working with these functions
#### a. **Evaluate the functions individually:**
For any value of \( X \), you can plug it into the functions to get their values. For example:
- For \( F(X) \), if \( X = 2 \), then \( F(2) = 2 + 3 = 5 \).
- For \( G(X) \), if \( X = 2 \), then \( G(2) = 2(2) + 7 = 4 + 7 = 11 \).
- For \( H(X) \), if \( X = 2 \), then \( H(2) = 2^2 = 4 \).

#### b. **Combining functions (Composition of functions):**
You can combine these functions in different ways, such as adding them together, multiplying, or composing them (substituting one into the other).

For example:
- **Addition:** \( F(X) + G(X) = (X + 3) + (2X + 7) = 3X + 10 \)
- **Composition:** \( F(G(X)) = F(2X + 7) = (2X + 7) + 3 = 2X + 10 \)

#### c. **Composition examples:**
- \( F(H(X)) = F(X^2) = X^2 + 3 \)
- \( G(H(X)) = G(X^2) = 2(X^2) + 7 = 2X^2 + 7 \)

### 3. Practice with function compositions and other operations:
Try substituting different values of \( X \) or composing the functions in different ways to get more comfortable with these types of operations.

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Would you like more details or clarification on these functions? 

Here are 5 related questions to help you practice further:
1. What is \( F(G(3)) \) for the given functions?
2. How would you solve \( F(X) = G(X) \) for \( X \)?
3. Find the expression for \( H(F(X)) \).
4. What is the result of multiplying \( F(X) \times G(X) \)?
5. What does \( G(F(X)) \) simplify to?

**Tip:** When composing functions, always work from the innermost function outward.

F(X) = X + 3, G(X) = 2X + 7, H(X) = X^2. How to work with these functions?

Learn how to work with functions F(X) = X + 3, G(X) = 2X + 7, and H(X) = X^2. This detailed guide covers how to evaluate, combine, and compose functions step-by-step. Suitable for Grades 8-10 students learning algebraic function composition.

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