### Instruction: If the point $(3,6)$ is on the graph of $y=g(x)$, and $h(x)=(g(x))^2$ for all $x$, then there is one point that must be on the graph of $y=h(x)$. What is the sum of the coordinates of that point?### Response: I know that if $(3,6)$ is on the graph of $y=g(x)$, that means $g(3)=6$.
So, to find $h(3)$, I just need to square $g(3)$, which is $6^2=36$.
Therefore, $(3,36)$ is on the graph of $y=h(x)$.
The sum of the coordinates of that point is $3+36=39$.