Question

3p(x-1)-p(3x) при p(x) =4x-4

Answer 1

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Answer 2

To evaluate the expression 3p(x-1) - p(3x) using the function p(x) = 4x - 4, we need to substitute p(x) into the expression and then simplify it. Let's go step-by-step:

Step 1: Replace p(x) with its expression: 3p(x-1) - p(3x) = 3(4(x-1) - 4) - (4(3x) - 4)

Step 2: Simplify the expression inside the parentheses: = 3(4x - 4 - 4) - (12x - 4)

Step 3: Continue to simplify: = 3(4x - 8) - 12x + 4

Step 4: Distribute the 3 to each term inside the parentheses: = 12x - 24 - 12x + 4

Step 5: Combine like terms: = (12x - 12x) - 24 + 4

Step 6: Further simplify: = 0 - 20

Step 7: The final result: = -20

So, the value of 3p(x-1) - p(3x) when p(x) = 4x - 4 is -20.