Mark the correct A. 2x – 3

B. 2x + 3

C. 2x² + 3x + 1

D.2x² – 3x – 1

Given that g(x) = x² + x – 2 and

a. Let f(x) = 2x – 3

gof(x) = g(2x – 3)

⇒ gof(x) = (2x – 3)² + 2x - 3 – 2

⇒ gof(x) = 4x² - 12x + 9 + 2x – 5

⇒ gof(x) = 4x² - 10x + 4

Hence, this option is the required value of f(x).

b. Let f(x) = 2x + 3

gof(x) = g(2x + 3)

⇒ gof(x) = (2x + 3)² + 2x + 3 – 2

⇒ gof(x) = 4x² + 12x + 9 + 2x + 1

⇒ gof(x) = 4x² + 14x + 10

Hence, this option is not the required value of f(x).

c and d option are incorrect because their degree is more than 1. So, the degree of gof will be more than 2.