Functions Question 525

Question: Let $ f(x)=2x^{2},g(x)=3x+2 $ and $ fog(x)=18x^{2}+24x+c, $ Then c=

Options:

A) 2

B) 8

C) 6

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ fog(x)=f{g(x)}=f(3x+2) $ $ =2{{(3x+2)}^{2}}=18x^{2}+24x+8 $
$ \therefore c=8 $