Correct Answer: Option B

Explanation

g(x) = x2 + 3x

When g(x + 1) = (x + 1)^2 + 3(x + 1) 

= x\(^2\) + 1 + 2x + 3x + 3 

= x\(^2\) + 5x + 4

g(x + 1) - g(x) = x2 + 5x + 8 - (x\(^2\) + 3x)

= x\(^2\) + 5x + 4 - x2 -3x 

= 2x + 4 or 2(x + 4)

= 2(x + 2)

There is an explanation video available below.

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