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Given f(x)=-3x^(2)+16, find f(-1) Answer:

Given f(x)=−3x2+16 f(x)=-3 x^{2}+16 , find f(−1) f(-1) \newlineAnswer:

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Evaluate expression when a complex numbers and a variable term is givenright chevron icon

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Q. Given f(x)=−3x2+16 f(x)=-3 x^{2}+16 , find f(−1) f(-1) \newlineAnswer:
  1. Substitute and Simplify: Given the function f(x)=−3x2+16f(x) = -3x^2 + 16, we need to find the value of f(−1)f(-1). This means we will substitute xx with −1-1 in the function and simplify.\newlineCalculation: f(−1)=−3(−1)2+16f(-1) = -3(-1)^2 + 16
  2. Calculate Square: First, we calculate (−1)2(-1)^2 which is 11.\newlineCalculation: (−1)2=1(-1)^2 = 1
  3. Multiply by −3-3: Next, we multiply −3-3 by the result of (−1)2(-1)^2.\newlineCalculation: −3×1=−3-3 \times 1 = -3
  4. Add 1616: Now, we add 1616 to the result of the previous step.\newlineCalculation: −3+16=13-3 + 16 = 13
  5. Final Answer: We have found the value of f(−1)f(-1) by following the steps of substitution, squaring, multiplication, and addition.\newlineFinal Answer: f(−1)=13f(-1) = 13

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