If g(x) = x2 + 3x + 4, find g(x + 1) - g(x).... Question 15808

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

(x + 2)

2(x + 2)

(2x + 1)

(x² + 4)

Correct answer is B

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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