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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:

Full solution

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)=3236=68f(-4) = -32 - 36 = -68

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