In order to calculate (gof)(2), first let's calculate f(2), then we use the result as the value of x for g(x).
So we have:
[tex]\begin{gathered} f(x)=\sqrt{2x+5}\\ \\ f(2)=\sqrt{4+5}\\ \\ f(2)=3\\ \\ \\ \\ g(x)=4x^2\\ \\ g(f(2))=g(3)=4\cdot3^2\\ \\ g(f(2))=36 \end{gathered}[/tex]
