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Given f(x)=-x^(2)-6x+17, find f(1) Answer:

Given f(x)=−x2−6x+17 f(x)=-x^{2}-6 x+17 , find f(1) f(1) \newlineAnswer:

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Q. Given f(x)=−x2−6x+17 f(x)=-x^{2}-6 x+17 , find f(1) f(1) \newlineAnswer:
  1. Identify Function and Value: Identify the function and the value to be substituted into the function.\newlineWe have the function f(x)=−x2−6x+17f(x) = -x^2 - 6x + 17 and we need to find f(1)f(1).
  2. Substitute x=1x = 1: Substitute x=1x = 1 into the function.\newlinef(1)=−(1)2−6(1)+17f(1) = -(1)^2 - 6(1) + 17
  3. Perform Calculations: Perform the calculations step by step.\newlineFirst, calculate the square of 11.\newline−(1)2=−1-(1)^2 = -1
  4. Calculate Square of 11: Multiply 66 by 11.
    -6(1)=−66(1) = -6
  5. Multiply by 66: Add the results from Step 33 and Step 44 to 1717. \newlinef(1)=−1−6+17f(1) = -1 - 6 + 17
  6. Add Results to 1717: Perform the addition.\newlinef11 = 1010

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