Functions Question 246

Question: If $ f(x)=x^{2}-1 $ and $ g(x)=3x+1 $ , then $ (gof)(x)= $

Options:

A) $ x^{2}-1 $

B) $ 2x^{2}-1 $

C) $ 3x^{2}-2 $

D) $ 2x^{2}+2 $

Show Answer

Answer:

Correct Answer: C

Solution:

$ (gof),(x)=3,(x^{2}-1)+1=3x^{2}-2. $