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The given function is \( f(x) = -5x + 6 \). You're asked to find and simplify \( f(x + 2) \).

To do this, substitute \( x + 2 \) into the function \( f(x) \):

\[
f(x+2) = -5(x + 2) + 6
\]

Now simplify the expression:

\[
f(x+2) = -5(x) - 5(2) + 6 = -5x - 10 + 6
\]

\[
f(x+2) = -5x - 4
\]

So, \( f(x+2) = -5x - 4 \).

Would you like more details, or do you have any questions about this? Here are some related questions for further practice:

1. What would \( f(x - 3) \) be for the same function?
2. How would the graph of \( f(x) \) change if the constant term were different?
3. Can you find \( f(0) \) and \( f(2) \) using the same function?
4. What is the slope of the function \( f(x) = -5x + 6 \)?
5. If \( g(x) = -5x + 6 \), how does the function \( g(x+2) \) differ from \( f(x+2) \)?

**Tip:** When substituting an expression into a function, always distribute the terms carefully before simplifying.

Let f(x) = -5x + 6. Find and simplify f(x + 2).

Learn how to simplify the function f(x + 2) when f(x) = -5x + 6 using function substitution and algebraic techniques. This problem covers key algebraic concepts, including function transformations and linear expressions. Suitable for students in Grades 8-10.

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