Evaluate each function: f(x) = 3(-2x + 7) find f(-7) what is the final answer

To evaluate the function \( f(x) = 3(-2x + 7) \) at \( x = -7 \), we substitute \( -7 \) for \( x \) in the function and simplify.

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

Now, let's calculate step by step:

1. **Multiply**: \(-2 \times -7 = 14\)
2. **Add**: \(14 + 7 = 21\)
3. **Multiply**: \(3 \times 21 = 63\)

So, the final answer is:

\[
f(-7) = 63
\]

Would you like details on the steps, or do you have any other questions? 

Here are some related questions:

1. How do you find the value of \( f(x) \) for any \( x \) in a linear function?
2. What are the properties of linear functions?
3. Can you graph the function \( f(x) = 3(-2x + 7) \)?
4. How would the answer change if the function was \( f(x) = -2(3x - 7) \)?
5. What is the slope and y-intercept of \( f(x) = 3(-2x + 7) \)?

**Tip:** Substituting values into functions is a key skill in algebra, useful in many problem-solving contexts.

Learn how to evaluate the linear function f(x) = 3(-2x + 7) at x = -7 step-by-step. This problem demonstrates the substitution method in algebra and includes multiplication and addition operations. Suitable for Grades 7-9 students.

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