Question

Given f, of, x, equals, 3, x, plus, 2f(x)=3x+2, find f, of, minus, 4f(−4).

Answer 1

this is wrong

Answer 2

To find \( f(-4) \) using the given function \( f(x) = 3x + 2 \), we first need to substitute \(-4\) into the function.

1. Calculate \( f(-4) \):
\[
f(-4) = 3(-4) + 2
\]
\[
= -12 + 2
\]
\[
= -10
\]

2. Now we have \( f(-4) = -10 \).

3. We're asked to find \( -4f(-4) \), which means:
\[
-4f(-4) = -4 \times (-10)
\]
\[
= 40
\]

Thus, the final result is:
\[
\boxed{40}
\]

Answer 3

I apologize for any confusion in my response. Let's carefully work through the problem step by step again, looking specifically for \( f(-4) \) and then evaluating \( -4f(-4) \).

Given the function:
\[
f(x) = 3x + 2
\]

### Step 1: Calculate \( f(-4) \)
Substituting \(-4\) into the function:
\[
f(-4) = 3(-4) + 2
\]
\[
= -12 + 2
\]
\[
= -10
\]

### Step 2: Evaluate \(-4f(-4)\)
Now we need to calculate \(-4f(-4)\):
\[
-4f(-4) = -4 \times (-10)
\]
\[
= 40
\]

### Conclusion
The calculations in the previous response are indeed correct:
\[
\boxed{40}
\]

If you have a different interpretation or additional information regarding the problem, please clarify, and I'll be glad to assist further!