2021
Mathematics
67ca00ce0c643c71d77dee1f
If g(x) = x22 + 3x find g(x + 1) - g(x)
A.
(x + 2)
B.
2(x + 2)
C.
(2x + 1)
D.
(x2 + 4)
Correct Answer: 2(x + 2)
Explanation
g(x) = x2 + 3x When g(x + 1) = (x + 1)2 + 3(x + 1) = x2 + 1 + 2x + 3x + 3 = x2 + 5x + 4 g(x + 1) - g(x) = x2 + 5x + 8 - (x2 + 3x) = x2 + 5x + 4 - x2 -3x = 2x + 4 or 2(x + 4) = 2(x + 2)
g(x) = x2 + 3x When g(x + 1) = (x + 1)2 + 3(x + 1) = x2 + 1 + 2x + 3x + 3 = x2 + 5x + 4 g(x + 1) - g(x) = x2 + 5x + 8 - (x2 + 3x) = x2 + 5x + 4 - x2 -3x = 2x + 4 or 2(x + 4) = 2(x + 2)THIS WEEK's
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