Which graph represents the functionf(x)= 2/x-1 +4

Step-by-step explanation:

For clarity regarding what the denominator is, please use parentheses.

I believe you meant:

f(x)= 2/(x-1) +4

This function f is a variation of the parent function y = 1/x.  The 2 stretches the graph vertically; the change from x to x - 1 translates the entire graph 1 unit to the right; and the +4 translates the entire graph up by 4 units.

I suspect you had 4 answer choices.  But you've only shared 2.  The second of the ones you've shared is the correct answer here.