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

Answer 1

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 2

show all steps to solve

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.