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Given f(x)=-x^(2)+17, find f(-3) Answer:

Given f(x)=−x2+17 f(x)=-x^{2}+17 , find f(−3) f(-3) \newlineAnswer:

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Full solution

Q. Given f(x)=−x2+17 f(x)=-x^{2}+17 , find f(−3) f(-3) \newlineAnswer:
  1. Substitute xx with −3-3: Substitute the value of xx with −3-3 in the function f(x)f(x).
    f(−3)=−(−3)2+17f(-3) = -(-3)^2 + 17
    Calculate the square of −3-3 and the overall expression.
    f(−3)=−(9)+17f(-3) = -(9) + 17
    f(−3)=−9+17f(-3) = -9 + 17
  2. Calculate f(−3)f(-3): Simplify the expression by adding −9-9 and 1717.
    f(−3)=17−9f(-3) = 17 - 9
    f(−3)=8f(-3) = 8

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