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

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

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Composition of linear and quadratic functions: find a valueright chevron icon

Full solution

Q. Given f(x)=−x2+2x f(x)=-x^{2}+2 x , find f(−9) f(-9) \newlineAnswer:
  1. Substitute xx with −9-9: To find f(−9)f(-9), we need to substitute xx with −9-9 in the function f(x)=−x2+2xf(x) = -x^2 + 2x.
    f(−9)=−(−9)2+2(−9)f(-9) = -(-9)^2 + 2(-9)
  2. Calculate values: Now, we calculate the square of −9-9 and multiply it by −1-1, and then multiply 22 by −9-9.f(−9)=−81−18f(-9) = -81 - 18
  3. Add numbers: Next, we add the two numbers together to find the value of f(−9)f(-9).f(−9)=−81−18=−99f(-9) = -81 - 18 = -99

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