Answer
The graph is attached.
Work Step by Step
First, we see that this problem is in the form $y=\frac{a}{x-h}+k$. Thus, we use the shape of $\frac{1}{x}$ and the value of $a$ to create the graph. $h$ and $k$ determine how the graph is shifted.
Looking at the asymptotes, we see that the domain is all real numbers except 4 and the range is all real numbers except -1.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/408a9adc-adf2-49d7-a16d-1d9fc00bf37c/steps_image/small_1562273215.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013513Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=bba2472b34e35fb3832980a7dbeec75a331e256ec80fc3fed7687249aea667b7)