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To solve the problem given, we need to find \((f - g)(x)\) using the provided functions:

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

Now, let's calculate \((f - g)(x)\):

\[
(f - g)(x) = f(x) - g(x)
\]

Substituting the given functions:

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

Simplifying the expression:

\[
(f - g)(x) = x + 4 - x + 4 = 8
\]

Therefore, the correct answer is:

**8**

Do you want further details or have any questions?

Here are some related questions you might be interested in:

1. What is \((f + g)(x)\) if \(f(x) = x + 4\) and \(g(x) = x - 4\)?
2. How do you find the composition of functions, such as \( (f \circ g)(x) \)?
3. What are the properties of function subtraction?
4. How would you find \( (f - g)(x) \) if \(f(x) = 2x + 3\) and \(g(x) = x - 5\)?
5. How does function subtraction differ from function division?

**Tip:** When dealing with function operations like addition or subtraction, always distribute negative signs carefully to avoid errors in calculations.

Given that f(x) = x + 4 and g(x) = x - 4, find (f - g)(x).

Solve the function operation (f - g)(x) where f(x) = x + 4 and g(x) = x - 4. Learn how to perform function subtraction and simplify the result. This algebra problem covers key concepts of function operations suitable for Grades 9-11.

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