The given function is:

\[
f(x) = 7(x - 3) + 2
\]

We can simplify it as follows:

1. Distribute the 7 to both terms inside the parentheses:
\[
f(x) = 7 \cdot x - 7 \cdot 3 + 2
\]
\[
f(x) = 7x - 21 + 2
\]

2. Combine like terms:
\[
f(x) = 7x - 19
\]

So, the simplified function is:

\[
f(x) = 7x - 19
\]

Would you like further details on function behavior or how to graph it?

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Here are 5 related questions:
1. What is the slope of the function \( f(x) = 7x - 19 \)?
2. How do you find the y-intercept of a linear function like \( f(x) \)?
3. How does changing the coefficient of \(x\) affect the graph of the function?
4. What does the transformation \( f(x) = 7(x - 3) + 2 \) represent geometrically?
5. How do you find the inverse of \( f(x) = 7x - 19 \)?

**Tip**: Always check for opportunities to simplify expressions by distributing and combining like terms early in the process.

This page explains how to simplify the linear function f(x) = 7(x - 3) + 2 using the distributive property and combining like terms. Learn how to transform the expression into f(x) = 7x - 19. This problem is suitable for students in Grades 8-10.

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