Answer:
D.
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
![f(x)=(1)/(x+1)\\ f(-1)=(1)/(-1+1)=(1)/(0)=\inf](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bjs3q9cha3xw75m1h6plqyncco7wns5n1y.png)
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.