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If f(x) = x^2 – x then f(x – 1) – f(x + 1) is … (1) 4x (2) 4x + 2 (3) 2 – 4x (4) 4x – 2

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If f(x) = x2 – x then f(x – 1) – f(x + 1) is …

(1) 4x

(2) 4x + 2

(3) 2 – 4x

(4) 4x – 2

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(3) 2 – 4x

f(x – 1) = (x – 1)2 – (x – 1)

= x2 – 2x + 1 – x + 1

= x2 – 3x + 2

f(x + 1) = (x + 1)2 – (x + 1)

= x2 + 2x + 1 – x – 1

= x2 + x

f(x – 1) – f(x + 1) = x2 – 3x + 2 – (x2 + x)

= x2 – 3x + 2 – x2 – x

= -4x + 2 = 2 – 4x

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