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Given 
f(x)=-x^(2)-9x+19, find 
f(-4)
Answer:

Given f(x)=x29x+19 f(x)=-x^{2}-9 x+19 , find f(4) f(-4) \newlineAnswer:

Full solution

Q. Given f(x)=x29x+19 f(x)=-x^{2}-9 x+19 , find f(4) f(-4) \newlineAnswer:
  1. Substitute xx into function: Substitute the value of xx into the function.\newlineWe are given f(x)=x29x+19f(x) = -x^2 - 9x + 19 and we need to find f(4)f(-4).\newlineSubstitute 4-4 for xx in the function.\newlinef(4)=(4)29(4)+19f(-4) = -(-4)^2 - 9(-4) + 19
  2. Calculate square of 4-4: Calculate the square of 4-4.(4)2=16(-4)^2 = 16Now substitute this value into the function.f(4)=(16)9(4)+19f(-4) = -(16) - 9(-4) + 19
  3. Multiply 99 by 4-4: Multiply 99 by 4-4.9(4)=369(-4) = -36 Now substitute this value into the function.f(4)=(16)(36)+19f(-4) = -(16) - (-36) + 19
  4. Simplify the function: Simplify the function. f(4)=16+36+19f(-4) = -16 + 36 + 19
  5. Add numbers together: Add the numbers together. f(4)=20+19f(-4) = 20 + 19
  6. Add final two numbers: Add the final two numbers. f(4)=39f(-4) = 39

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