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Given 
f(x)=-4x^(2)-5, find 
f(-7)
Answer:

Given f(x)=4x25 f(x)=-4 x^{2}-5 , find f(7) f(-7) \newlineAnswer:

Full solution

Q. Given f(x)=4x25 f(x)=-4 x^{2}-5 , find f(7) f(-7) \newlineAnswer:
  1. Given function substitution: We are given the function f(x)=4x25f(x) = -4x^2 - 5 and we need to find the value of f(7)f(-7).\newlineSubstitute xx with 7-7 in the function f(x)f(x).\newlinef(7)=4(7)25f(-7) = -4(-7)^2 - 5
  2. Calculate square: Calculate the square of 7-7.(7)2=49(-7)^2 = 49
  3. Multiply by 4-4: Multiply 4949 by 4-4.\newline4×49=196-4 \times 49 = -196
  4. Substitute and subtract: Substitute 196-196 into the function and subtract 55.\newlinef(7)=1965f(-7) = -196 - 5
  5. Calculate final value: Calculate the final value. f(7)=201f(-7) = -201

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