To solve \( g(f(2)) \) where:

- \( f(x) = 4x + 3 \)
- \( g(x) = x - 7 \)

### Step 1: Find \( f(2) \)
\[
f(2) = 4(2) + 3 = 8 + 3 = 11
\]

### Step 2: Now substitute \( f(2) = 11 \) into \( g(x) \)
\[
g(f(2)) = g(11) = 11 - 7 = 4
\]

So, \( g(f(2)) = 4 \).

Would you like further explanation or have any questions? 

Here are some related problems to practice:

1. Find \( g(f(3)) \) given \( f(x) = 4x + 3 \) and \( g(x) = x - 7 \).
2. If \( h(x) = 2x + 1 \), what is \( h(g(f(2))) \)?
3. Solve \( f(f(2)) \) for \( f(x) = 4x + 3 \).
4. What is \( g(g(f(1))) \) given the same functions?
5. Find \( g(f(x)) \) in terms of \( x \).

**Tip:** Always start by simplifying the inner function before applying the outer function.

Learn how to solve the composition of functions problem g(f(2)) where f(x) = 4x + 3 and g(x) = x - 7. This step-by-step solution explains how to find f(2) and substitute it into g(x). Perfect for students in Grades 8-10 studying algebra and function composition.

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