jmc

We are asked to apply the function $f$ to the number $g(2)$. First, we need to find $g(2)$. We substitute $x=2$ into the expression given for $g$ to find that $g(2)=2^2+3=7$. Then we substitute $x=7$ into the expression for $f$ to find $f(7)=7+1=\boxed{8}$.