Given the function, g (x) = (x-1) / (x^2-1), choose the correct value of x where the hole is located.

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