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Answered

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Given f(x) = 2x² - 5x, evaluate f(x-4) + f(x)

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Step-by-step explanation:

f(x) = 2x² - 5x

= f(x-4) + f(x)

= [2.(x-4)² - 5.(x-4)] + [2x² - 5x]

= [2.(x² - 8x + 16) - 5x + 20] + [2x² - 5x]

= [2x² - 16x + 32 - 5x + 20] + [2x² - 5x]

= [2x² - 21x + 52] + [2x² - 5x]

= 4x² - 26x + 52

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