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For the functions f(x)=−7x2−x and g(x)=9x2−4x, find (f−g)(x) and (f−g)(1).

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Step-by-step explanation:

f(x) = -7x² - x

g(x) = 9x² - 4x

(f - g)(x) = (-7x² - x) - (9x² - 4x)

(f - g)(x) = (-7x² - 9x²) + (-x + 4x)

(f - g)(x) = -16x² + 3x

(f - g)(1) = -16(1)² + 3(1)

(f - g)(1) = -16.1 + 3

(f - g)(1) = -16 + 3

(f - g)(1) = -13

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