We are given two functions:

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

We need to calculate \( g(f(2)) \).

### Step 1: Find \( f(2) \)

\[
f(2) = 4(2) + 3 = 8 + 3 = 11
\]

### Step 2: Substitute \( f(2) \) into \( g(x) \)

Now we substitute \( f(2) = 11 \) into \( g(x) \):

\[
g(11) = 11 - 7 = 4
\]

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

Would you like any further details or have any questions?

Here are 5 related questions:
1. What is \( f(g(2)) \)?
2. What is \( f(f(2)) \)?
3. What is the inverse of \( f(x) = 4x + 3 \)?
4. How would you graph \( g(x) = x - 7 \)?
5. How do you find \( g(f(x)) \) for general \( x \)?

**Tip:** When composing functions, always evaluate the inner function first before applying the outer function!

Learn how to calculate g(f(2)) step by step, where f(x) = 4x + 3 and g(x) = x - 7. This problem explores key algebraic concepts, such as function composition and linear functions. Perfect for students in Grades 8-10.

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