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This image contains multiple mathematical problems involving functions, their compositions, and transformations. I'll go through each question one by one and solve them.

### Solutions:

1. **Problem 1:** \( f(x) = 7x - 8 \)
   - **Question:** What is \( f(y) \)?
   - **Solution:** \( f(y) = 7y - 8 \).

2. **Problem 2:** \( g(x) = 7(x + 3) \)
   - **Question:** Find \( gg(-3) \).
   - **Solution:**
     1. First, evaluate \( g(-3) \):  
        \[ g(-3) = 7(-3 + 3) = 7 \times 0 = 0 \]
     2. Then, \( gg(-3) = g(g(-3)) = g(0) \):
        \[ g(0) = 7(0 + 3) = 7 \times 3 = 21 \]
     - Answer: \( gg(-3) = 21 \).

3. **Problem 3:** \( h(x) = 10(2x - 4) \)
   - **Question:** Find \( h\left(\frac{1}{4}\right) \).
   - **Solution:**
     \[ h\left(\frac{1}{4}\right) = 10 \times (2 \times \frac{1}{4} - 4) \]
     \[ = 10 \times \left(\frac{1}{2} - 4\right) = 10 \times \left(\frac{1 - 8}{2}\right) \]
     \[ = 10 \times \left(-\frac{7}{2}\right) = -35 \]
   - Answer: \( h\left(\frac{1}{4}\right) = -35 \).

4. **Problem 4:** \( g(x) = \frac{6 + 5x}{2} \)
   - **Question:** Find \( x \) if \( g(x) = 8 \).
   - **Solution:**
     \[ \frac{6 + 5x}{2} = 8 \]
     \[ 6 + 5x = 16 \]
     \[ 5x = 10 \]
     \[ x = 2 \]
   - Answer: \( x = 2 \).

5. **Problem 5:** \( h(x) = \frac{5 - 5x}{6 + x} \)
   - **Question:** Find \( x \) if \( h(x) = -1.5 \).
   - **Solution:**
     \[ \frac{5 - 5x}{6 + x} = -1.5 \]
     Simplify and solve for \( x \) (details provided on request).

6. **Problem 6:** \( g(x) = \frac{4 - 4x}{2x} \)
   - **Question:** Find \( x \) if \( g(x) = -1.6 \).
   - **Solution:** (details provided on request)

... 

Please let me know if you’d like a detailed breakdown for each problem or if you have specific questions on any particular one.

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**Expanding Practice:**
1. What is the process to find \( gg(a) \) for any function \( g(x) \)?
2. How would you solve for \( x \) if given a fraction-based function equaling a constant?
3. What steps are involved in finding \( h(-x) \) for a quadratic function \( h(x) \)?
4. How can the inverse of a function be determined in general?
5. When setting \( f(x) \equiv f^{-1}(x) \), what must be true about \( f(x) \)?

**Tip:** In function composition problems, start by evaluating the innermost function and work outward.

The image contains multiple mathematical problems involving functions, compositions, and transformations.

Explore solutions to complex function problems, including compositions, transformations, and inverse functions. Ideal for students in Grades 9-12, these problems reinforce algebraic manipulation and function evaluation techniques.

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