If g(x) = x2 + 3x + 4, find g(x + 1) - g(x)

Mathematics

JAMB 1991

If g(x) = x² + 3x + 4, find g(x + 1) - g(x)

A. (x + 2)
B. 2(x + 2)
C. (2x + 1)
D. (x² + 4)

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Correct Answer: Option B

Explanation

g(x) = x² + 3x + 4

= g(x + 1) = (x + 1)^2 + 3(x + 1) + 4

= x² + 1 + 2x + 3x + 3 + 4

= x² + 5x + 8

g(x + 1) - g(x) = x² + 5x + 8 - (x² + 3x + 4)

= x² + 5x + 8 - x² + 3x + 4

= 2x + 4

= 2(x + 2)

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If g(x) = x2 + 3x + 4, find g(x + 1) - g(x)

Correct Answer: Option B

Explanation

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