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Given f(x)=-4x^(2)+x, find f(-2) Answer:

Given f(x)=−4x2+x f(x)=-4 x^{2}+x , find f(−2) f(-2) \newlineAnswer:

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Full solution

Q. Given f(x)=−4x2+x f(x)=-4 x^{2}+x , find f(−2) f(-2) \newlineAnswer:
  1. Substitute xx with −2-2: We are given the function f(x)=−4x2+xf(x) = -4x^2 + x. To find f(−2)f(-2), we need to substitute xx with −2-2 in the function.\newlineCalculation: f(−2)=−4(−2)2+(−2)f(-2) = -4(-2)^2 + (-2)
  2. Calculate square of −2-2: First, calculate the square of −2-2.\newlineCalculation: (−2)2=4(-2)^2 = 4
  3. Multiply by −4-4: Now, multiply the result by \(-4＂).\newlineCalculation: \(-4 \times 44 = −16-16＂)
  4. Add to −2-2: Next, add the product of −4-4 and the square of −2-2 to the value of −2-2.\newlineCalculation: −16+(−2)=−18-16 + (-2) = -18
  5. Find f(−2)f(-2): We have now found the value of f(−2)f(-2).\newlineFinal Answer: f(−2)=−18f(-2) = -18

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