MATHEMATICS

JAMB 2022 - Question 25

Mathematics 2022 JAMB Past Questions - Question 25:  If g(x = x2 + 3x ) find g(x + 1) – g(x)

 If g(x = x2 + 3x ) find g(x + 1) – g(x)
A:
B:
C:
D:
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Correct Answer

B

Explanation

To find g(x + 1) - g(x), we need to substitute x + 1 and x into the function g(x) and then subtract the results.Let's start by evaluating g(x + 1):g(x + 1) = (x + 1)^2 + 3(x + 1)        = x^2 + 2x + 1 + 3x + 3        = x^2 + 5x + 4Now, let's evaluate g(x):g(x) = x^2 + 3xSubstituting these values into the expression g(x + 1) - g(x):g(x + 1) - g(x) = (x^2 + 5x + 4) - (x^2 + 3x)                = x^2 + 5x + 4 - x^2 - 3x                = 2x + 4Therefore, g(x + 1) - g(x) simplifies to 2x + 4.