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Given f(x)=-2x^(2)+9x, find f(-4) Answer:

Given f(x)=−2x2+9x f(x)=-2 x^{2}+9 x , find f(−4) f(-4) \newlineAnswer:

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Evaluate expression when a complex numbers and a variable term is givenright chevron icon

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Q. Given f(x)=−2x2+9x f(x)=-2 x^{2}+9 x , find f(−4) f(-4) \newlineAnswer:
  1. Substitute and Simplify: Given the function f(x)=−2x2+9xf(x) = -2x^2 + 9x, we need to find the value of f(−4)f(-4). This means we will substitute xx with −4-4 in the function and simplify.\newlineCalculation: f(−4)=−2(−4)2+9(−4)f(-4) = -2(-4)^2 + 9(-4)
  2. Calculate Square of −4-4: First, calculate the square of −4-4.\newlineCalculation: (−4)2=16(-4)^2 = 16
  3. Multiply −2-2 by Square: Now, multiply −2-2 by the square of −4-4.\newlineCalculation: −2×16=−32-2 \times 16 = -32
  4. Multiply 99 by −4-4: Next, multiply 99 by −4-4.\newlineCalculation: 9×(−4)=−369 \times (-4) = -36
  5. Add Results to Find f(−4)f(-4): Finally, add the two results together to find f(−4)f(-4).\newlineCalculation: f(−4)=−32−36=−68f(-4) = -32 - 36 = -68

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