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Given 
f(x)=-x^(2)+5x-6, find 
f(-9)
Answer:

Given f(x)=x2+5x6 f(x)=-x^{2}+5 x-6 , find f(9) f(-9) \newlineAnswer:

Full solution

Q. Given f(x)=x2+5x6 f(x)=-x^{2}+5 x-6 , find f(9) f(-9) \newlineAnswer:
  1. Substitute xx with 9-9: Given the function f(x)=x2+5x6f(x) = -x^2 + 5x - 6, we need to find the value of f(9)f(-9). To do this, we will substitute xx with 9-9 in the function and simplify.\newlinef(9)=(9)2+5(9)6f(-9) = -(-9)^2 + 5(-9) - 6
  2. Calculate (9)2(-9)^2: First, we calculate (9)2(-9)^2, which is the square of 9-9.(9)2=81(-9)^2 = 81
  3. Multiply 55 by 9-9: Next, we multiply 55 by 9-9.5(9)=455(-9) = -45
  4. Substitute values and simplify: Now, we substitute these values into the function and simplify.\newlinef(9)=(81)+(45)6f(-9) = -(81) + (-45) - 6
  5. Perform arithmetic operations: We simplify the expression by performing the arithmetic operations. f(9)=81456f(-9) = -81 - 45 - 6
  6. Final value: Adding the numbers together, we get the final value.\newlinef(9)=81456=132f(-9) = -81 - 45 - 6 = -132

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