Given f, of, x, equals, 3, x, minus, 3f(x)=3x−3, find f, of, minus, 4f(−4)

We are given the function equation \( f(x) = 3x - 3 \). To find \( f(-4) \), we simply substitute \( x = -4 \) into the function equation:

\[
f(-4) = 3(-4) - 3
\]

Let's calculate it step by step:

\[
f(-4) = -12 - 3
\]

\[
f(-4) = -15
\]

So, \( f(-4) = -15 \).

Would you like more details or have any other questions?

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Here are 8 related questions to expand your understanding:

1. What is \( f(0) \) for the function \( f(x) = 3x - 3 \)?
2. How would you find the value of \( f(2) \) for this function?
3. What is the general formula to determine the slope of a linear function?
4. How do you determine the y-intercept of a linear function?
5. Can you rewrite the function \( f(x) = 3x - 3 \) in the form \( y = mx + b \) and identify \( m \) and \( b \)?
6. What is the inverse function of \( f(x) = 3x - 3 \)?
7. How do you graph the function \( f(x) = 3x - 3 \)?
8. What are the key properties of linear functions like \( f(x) = 3x - 3 \)?

**Tip:** When solving a function, always substitute the given value carefully and follow the order of operations to avoid errors.

Learn how to evaluate the function f(x) = 3x - 3 at x = -4 step-by-step. This problem covers linear functions, function evaluation, and substitution. Suitable for students in Grades 7-9.

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