B. f(x) = 1/x(x - 2)
Step-by-step explanation:
The graphed function has two vertical asymptotes.
The functions A and D have degree 1 on the numerator and degree 2 on the denominator, so finally having degree 1, have one vertical asymptote, therefore discounted.
We are left with B and C.
Function B has vertical asymptotes 0 and -2.
This is matching the graph, correct
Function C has vertical asymptotes 0 and 2
This is not matching the graph, incorrect
See the attached to confirm