Question

1. true or false. if false, correct the statement to make it true. explain ur reasoning

If f(x) = x³, then -4f(x - 1) + 2 can be written as -4(x3 − 1) + 2

pls!!!! asap!!!​

Answer 1

Answer: False

The correct expression is -4(x-1)^3+2

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Work Shown:

`f(x) = x^3\\\\f(x-1) = (x-1)^3\\\\-4f(x-1) = -4(x-1)^3\\\\-4f(x-1)+2 = \boldsymbol{-4(x-1)^3+2}\\\\`

So the error is with the stuff in the parenthesis. Instead of (x^3-1) it should be (x-1)^3

Side note: (x-1)^3 expands to x^3-3x^2+3x-1