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Given the function f(x)=-2x+x^(2), then what is f(x-1) as a simplified polynomial? Answer:

Given the function f(x)=−2x+x2 f(x)=-2 x+x^{2} , then what is f(x−1) f(x-1) as a simplified polynomial?\newlineAnswer:

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Q. Given the function f(x)=−2x+x2 f(x)=-2 x+x^{2} , then what is f(x−1) f(x-1) as a simplified polynomial?\newlineAnswer:
  1. Substitute into function: Substitute (x−1)(x-1) into the function f(x)f(x).f(x−1)=−2(x−1)+(x−1)2f(x-1) = -2(x-1) + (x-1)^2
  2. Distribute −2-2: Distribute the −2-2 into (x−1)(x-1).f(x−1)=−2x+2+(x−1)2f(x-1) = -2x + 2 + (x-1)^2
  3. Expand square term: Expand the square term (x−1)2(x-1)^2.f(x−1)=−2x+2+x2−2x+1f(x-1) = -2x + 2 + x^2 - 2x + 1
  4. Combine like terms: Combine like terms. f(x−1)=x2−4x+3f(x-1) = x^2 - 4x + 3

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