Question

what is f(-2) for the function f(x)=3x+8.

Answer 1

show all steps to solve

Answer 2

To find \( f(-2) \) for the function \( f(x) = 3x + 8 \), substitute \(-2\) for \(x\):

\[
f(-2) = 3(-2) + 8
\]
\[
f(-2) = -6 + 8
\]
\[
f(-2) = 2
\]

Thus, \( f(-2) = 2 \).

Answer 3

Certainly! Let's go through each step in detail to find \( f(-2) \) for the function \( f(x) = 3x + 8 \).

### Step 1: Identify the function

The given function is:

\[
f(x) = 3x + 8
\]

### Step 2: Substitute the value \(-2\) for \(x\)

To find \( f(-2) \), we need to substitute \(-2\) into the function wherever there is an \(x\):

\[
f(-2) = 3(-2) + 8
\]

### Step 3: Perform the multiplication

Now, calculate \(3 \times -2\):

\[
f(-2) = -6 + 8
\]

### Step 4: Perform the addition

Next, add \(-6\) and \(8\):

\[
f(-2) = -6 + 8 = 2
\]

### Conclusion

So, the value of \( f(-2) \) is:

\[
f(-2) = 2
\]

This completes the calculation step-by-step.