Final answer:
The discontinuity of the function (x²-4x-12)/(x²) occurs at x = 0, because the denominator becomes zero, causing the function to be undefined at that point.
Step-by-step explanation:
The question asks about the discontinuity of the function (x²-4x-12)/(x²). A function is discontinuous at a point if the limit does not exist at that point, or if the limit exists but is not equal to the function's value at that point. In this function, we can see that there is a discontinuity at x = 0, because the denominator becomes zero, which makes the function undefined at that value of x. Therefore, the function has an asymptote at x = 0, and this is where the discontinuity occurs.