The graph shown here is the graph of which of the following rational functions ?
Accepted Solution
A:
The first thing you should do for this case is to study the domain of the function to verify the values of x for which it is defined. We have then the domain of the function is: x = (- inf, -1) x = (- 1, 3) x = (3, inf) Equivalently all the x that belong to: (-inf, -1) U (-1, 3) U (3, inf) Therefore, the function is: F (x) = (x-2) / ((x + 1) * (x-3)) answer A. F (x) = (x-2) / ((x + 1) * (x-3))