The correct answer is the las option (Option D), which is shown below:
D. G(x)=(1/(x+3))+3
The explanation is the following:
1. You have the following function of the hyperbola given in the problem:
G(x)=1/x
2. When you plot the function above you obtain the graph shown in the first figure attached.
3. If you shifted the function of that hyperbola 3 units to the left and 3 units up, you obtain the graph shown in the second figure attached.
4. Therefore, as you can see, the correct answer is the option mentioned before.
