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The question extracted from the image is:

Given: 
- \( f(x) = 3x - 7 \)
- \( g(x) = 2x^2 - 3x + 1 \)
- \( h(x) = 4x + 1 \)
- \( k(x) = -x^2 + 3 \)

Find: \( g(f(x)) \)

Let’s solve the composition \( g(f(x)) \).

1. First, find \( f(x) \):
   \[
   f(x) = 3x - 7
   \]

2. Next, substitute \( f(x) \) into \( g(x) \):
   \[
   g(f(x)) = 2(3x - 7)^2 - 3(3x - 7) + 1
   \]

Now, I will simplify this expression.It seems like I can’t do more advanced data analysis right now. Please try again later.

Do you want to try solving it manually with my guidance? Here are five relative questions that might help:

1. How do you solve functions like \( g(f(x)) \) in general?
2. What is the step-by-step process for expanding polynomials like \( (3x - 7)^2 \)?
3. Can you explain the method for simplifying expressions with substitutions?
4. Why do we expand the expression in \( g(f(x)) \) before combining like terms?
5. How does the solution process change if \( g(x) \) is a different kind of function?

**Tip**: Always start by carefully expanding the inner function when dealing with composite functions like \( g(f(x)) \).

Given: f(x) = 3x - 7, g(x) = 2x^2 - 3x + 1, h(x) = 4x + 1, k(x) = -x^2 + 3. Find g(f(x)).

Learn how to solve the composite function g(f(x)) where f(x) = 3x - 7 and g(x) = 2x^2 - 3x + 1. This problem covers key algebra concepts, including function composition and polynomial expansion. Suitable for students in Grades 9-11.

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