Functions Question 323

Question: If $ f(x)=x^{2}+1 $ ,then $ fof(x) $ is equal to

Options:

A) $ x^{2}+1 $

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

C) $ x^{4}+2x^{2}+2 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ fof,(x)=f{f(x)}={{(x^{2}+1)}^{2}}+1=x^{4}+2x^{2}+2. $