Question

What is the discontinuity of the function f(x) = the quantity of x squared minus 4 x minus 12, all over x plus 2?

A. (−6, 0)
B. (6, 0)
C. (−2, −8)
D. (2, −4)

Answer 1

C. (-2, -8)

Explanation:

The function reduces to ...

f(x) = (x^2 -4x -12)/(x +2) = (x -6)(x +2)/(x +2) = x -6 . . . . x ≠ -2

At x=-2, the function would evaluate to ...

f(-2) = -2 -6 = -8

but cannot, because there is a hole in the function definition at that point.

There is a hole at (-2, -8).