Answer
$g(x)=2x+13$
Work Step by Step
In general, a function $f(x)$ when translated $c$ units up and $d$ units left will result the new function $f(x+d)+c$. Considering this on $f(x)=2x+5$, where $c=2$ and $d=3$: $$g(x)=2(x+3)+5+2$$ $$g(x)=2x+6+5+2$$ $$g(x)=2x+13$$