Your document contains a series of mathematical problems ranging from functions, domains, compositions, and inverses to matrix operations and properties. Please let me know which specific question you'd like assistance with, and I'll provide a detailed solution. For example:

• Would you like help solving the function-related problems (e.g., Questions 2-17)?
• Do you need solutions for matrix problems (e.g., Questions 20-25)?
• Are you looking for diagrams or explanations for concepts like function compositions or domain restrictions?

Let me know how you'd like to proceed!

Here are some related questions to expand your understanding:

1. How can you find the inverse of a composite function effectively?
2. What are common errors when solving domain-related problems for rational functions?
3. How do matrix determinants relate to the properties of their transformations?
4. What is the significance of the composition of two functions in applied mathematics?
5. Can you provide examples of real-life scenarios where functions and compositions are used?

Tip: When dealing with compositions, always simplify step-by-step to avoid mistakes.