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Given f(x)=-x^(2)+3x+9, find f(10) Answer:

Given f(x)=−x2+3x+9 f(x)=-x^{2}+3 x+9 , find f(10) f(10) \newlineAnswer:

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Q. Given f(x)=−x2+3x+9 f(x)=-x^{2}+3 x+9 , find f(10) f(10) \newlineAnswer:
  1. Substitute xx with 1010: Substitute the value of xx with 1010 in the function f(x)f(x).f(10)=−(10)2+3(10)+9f(10) = -(10)^2 + 3(10) + 9
  2. Calculate square of 1010: Calculate the square of 1010.−(10)2=−100-\left(10\right)^2 = -100
  3. Multiply 33 by 1010: Multiply 33 by 1010. \newline3(10)=303(10) = 30
  4. Add results and 99: Add the results from Step 22 and Step 33, and then add 99.f(10)=−100+30+9f(10) = -100 + 30 + 9
  5. Combine like terms: Simplify the expression by combining like terms. f(10)=−70+9f(10) = -70 + 9
  6. Add −70-70 and 99: Add −70-70 and 99 to get the final result.\newlinef(10)=−61f(10) = -61

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