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Given f, of, x, equals, minus, 2, x, squared, minus, 4, x, plus, 13f(x)=−2x 2 −4x+13, find f, of, minus, 7f(−7)

Question

Given f, of, x, equals, minus, 2, x, squared, minus, 4, x, plus, 13f(x)=−2x 2 −4x+13, find f, of, minus, 7f(−7)

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Solution

To find the value of f(-7), we substitute x = -7 into the function f(x) = -2x^2 - 4x + 13.

Step 1: Substitute x = -7 into the function f(-7) = -2(-7)^2 - 4(-7) + 13

Step 2: Simplify the equation f(-7) = -2(49) + 28 + 13 f(-7) = -98 + 28 + 13

Step 3: Add the numbers f(-7) = -57

So, f(-7) = -57.

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