Answer:
D.
Step-by-step explanation:
You can observe in the graph that the rational function has an asymptote at x=-1, that means there's an undetermined point. In other words, x=-1 isn't admitted in the domain of the set, so we have to look for a function that has the same restriction.
Among the options, D has the same restriction, because with x=-1, the function is undermined, as it's shown
[tex]f(x)=\frac{1}{x+1}\\ f(-1)=\frac{1}{-1+1}=\frac{1}{0}=\inf[/tex]
As you can see, at x=-1, the function is infinite, undetermined, because having a zero in the denominator results in a undetermination. This means that option D has the same restriction than the graph.
Therefore, the right answer is D.
