Given the two functions $f(x)=x^3+2x+1$ and $g(x)=x-1$, find $f(g(1))$.
To find $f(g(1))$, I need to first evaluate $g(1)$ and then plug that value into $f(x)$. So, $g(1)=1-1=0$. Now, $f(g(1))=f(0)$. To evaluate $f(0)$, I just plug in $0$ for $x$ in the expression for $f(x)$. So, $f(0)=(0)^3+2(0)+1=0+0+1=1$. 