Q. 455.0( 1 Vote )

Mark the correct A. 2x – 3

B. 2x + 3

C. 2x2 + 3x + 1

D.2x2 – 3x – 1

Answer :

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.

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