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Given the function 𝑓(𝑥)=−2𝑥2+4𝑥−3 , find  f(8).

Question

Given the function 𝑓(𝑥)=−2𝑥2+4𝑥−3 , find  f(8).

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Solution

To find the value of f(8), we substitute x = 8 into the function f(x) = -2x^2 + 4x - 3.

Step 1: Substitute x = 8 into the function f(8) = -2(8)^2 + 4(8) - 3

Step 2: Simplify the equation f(8) = -2(64) + 32 - 3 f(8) = -128 + 32 - 3

Step 3: Continue to simplify f(8) = -96 - 3 f(8) = -99

So, f(8) = -99.

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