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To solve for \( f(4) \) given the function \( f(x) = -x + 2 \), we simply substitute \( x = 4 \) into the function:

\[
f(4) = -(4) + 2
\]

Calculating this:

\[
f(4) = -4 + 2 = -2
\]

So, the answer is:
\[
f(4) = -2
\]

Would you like a further breakdown or explanation of this solution? Here are some related questions for further exploration:

1. How would the solution change if the function was \( f(x) = -2x + 2 \)?
2. What is \( f(x) \) if \( x = -4 \)?
3. What is the inverse of the function \( f(x) = -x + 2 \)?
4. How would we find \( f(4) \) if \( f(x) = x^2 - x + 1 \)?
5. What would \( f(x) = -x + 2 \) look like if graphed on a coordinate plane?

**Tip:** When evaluating functions, substitute the input value carefully and follow the order of operations to avoid mistakes.

Learn how to evaluate the function f(x) = -x + 2 at x = 4. This problem involves key algebra concepts, specifically evaluating linear functions, and is suitable for students in Grades 6-8.

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