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  4. If f(x) = 2x + 1 and g (x) = x2 + 1 then go(fof)(2) =

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Q. If $f(x) = 2x + 1$ and $g (x) = x^2 + 1$ then $go(fof)(2) =$

Relations and Functions - Part 2

Solution:

$ (g o(f \circ f))(x)=g(f(f(x))) $
$=g(f(2 x+1))$
$=g(2(2 x+1)+1)$
$= g (4 x +3)$
$ =(4 x+3)^2+1 $
$ (g o(f o f))(2)=(11)^2+1=122 $