Hey can you me posted picture of question

Shifting 3 units to left means addition of 3 in x. And shifting 3 units up means addition of 3 to the function value.

So, the resulting function after these two translations will be:



3 is added to x in denominator, and a 3 is added to the entire function value.

So, option D gives the correct answer

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.