For this case we have the following function: g (x) = (x-1) / (x ^ 2-1) Rewriting we have: g (x) = (x-1) / ((x + 1) * (x-1)) Canceling similar terms the function is: g (x) = 1 / (x + 1) We evaluate the value of x where the denominator is not defined: x + 1 = 0 x = -1 Answer: the correct value of x where the hole is located is: x = -1