Answer
$f(f(x))=x^4+2 x^2+2$.
Work Step by Step
$f(x)=x^2+1$
$g(x)=2x+3$
$f(f(x))=f\left(x^2+1\right)=\left(x^2+1\right)^2+1=x^4+2 x^2+2$.
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