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Given the function f(x)=-x^(2)+5x, then what is f(x-3) as a simplified polynomial? Answer:

Given the function f(x)=−x2+5x f(x)=-x^{2}+5 x , then what is f(x−3) f(x-3) as a simplified polynomial?\newlineAnswer:

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Q. Given the function f(x)=−x2+5x f(x)=-x^{2}+5 x , then what is f(x−3) f(x-3) as a simplified polynomial?\newlineAnswer:
  1. Substitute x−3x-3: Substitute x−3x-3 into the function f(x)f(x).\newlinef(x−3)=−(x−3)2+5(x−3)f(x-3) = -(x-3)^2 + 5(x-3)
  2. Expand square term: Expand the square term. f(x−3)=−(x2−6x+9)+5x−15f(x-3) = -(x^2 - 6x + 9) + 5x - 15
  3. Distribute and combine: Distribute the negative sign and combine like terms. f(x−3)=−x2+6x−9+5x−15f(x-3) = -x^2 + 6x - 9 + 5x - 15
  4. Combine xx and constant terms: Combine the xx terms and constant terms.f(x−3)=−x2+11x−24f(x-3) = -x^2 + 11x - 24

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