Correctly show the order of Operations that transforms f(x) =3^3 to -f (3x -2) +1 complete

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

GPT-4o mini · Answer

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.