For this case, the first thing you should keep in mind is the vertical asymptote that exists in the function.
We have an asymptote at x = 5.
Therefore, the function is not defined for that value of x.
We have then that the function is given by:
f (x) = 1 / (x-5) + 3
Answer:
f (x) = 1 / (x-5) + 3
option 4