Question

Correctly show the order of Operations that transforms f(x) =3^3 to -f (3x -2) +1 complete
The table you should put the expression used to find the value of x in the correct order of Operations progress by by rewriting the expressions in each subsequent step applying a additional Operation one at a time until all five steps are complete in rows 2-4 you will put the number you will find I.after t
Evaluating tbe expression for the
For the value of x

Answer 1

To transform the function \( f(x) = 3^3 \) to the expression \( -f(3x - 2) + 1 \), we'll first calculate the value of \( f(3x - 2) \) and then apply the transformations step-by-step according to the order of operations.

Let's break down the transformations and fill in the table step-by-step.

**Step 1:** Evaluate \( f(x) = 3^3 \)

\[
f(x) = 27
\]

**Step 2:** Substitute \( 3x - 2 \) into \( f(x) \)

\[
f(3x - 2) = 3^{(3x - 2)}
\]

**Step 3:** Rewrite the expression

Now we apply the positive exponent from \( f(3x - 2) \):

\[
f(3x - 2) = 3^{3x - 2}
\]

**Step 4:** Apply the negative outside the function

Now we have to apply the negative sign:

\[
-f(3x - 2) = -3^{3x - 2}
\]

**Step 5:** Finally add 1

\[
-f(3x - 2) + 1 = -3^{3x - 2} + 1
\]

### Summary Table:

| Step | Expression | Calculation/Value |
|------|------------|-------------------|
| 1 | \( f(x) = 3^3 \) | \( 27 \) |
| 2 | \( f(3x - 2) = 3^{3x - 2} \) | |
| 3 | \( -f(3x - 2) = -3^{3x - 2} \) | |
| 4 | \( -3^{3x - 2} + 1 \) | |

This table demonstrates the transition from \( f(x) = 3^3 \) to \( -f(3x - 2) + 1 \) by progressively rewriting the expressions while maintaining clarity on the order of operations applied. Each step involves applying one operation at a time until the complete transformation is achieved.