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. $