## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$f(g(0))=1$
First, find $g(0)$. Input $x=0$ into $g(x)$ to get $g(0)=1-0^2=1$. Now, use $g(0)$, or $1$, in $f(x)$ to get $f(g(0))=f(1)=3(1)-1=2$.