UGC NET CSE | December 2004 | Part 2 | Question: 2

Question

If $f (x)=x+1\:\text{and}\:g(x)=x+3$ then $f 0 f 0 f 0 f$  is :

• A. $g$
• B. $g+1$
• C. $g^4$
• D. None of these

Answer 1

$f of = (x+1)+1 = x+2$

$fo(f of) = (x+2)+1 = x+3$

$fo(fo(fof)) = (x+3)+1 = g + 1$

$(B) $ is the correct option.