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? (−6, 0) (6, 0) (−2, −8) (2, −4)

Answer 1

(-2,-8)

(i just took the test)

Answer 2

`f(x) = ( x^(2) - 4x - 12)/(x + 2)`
The point of discontinuity is where the function is undefined; so with a fractional function if the base is zero the the function is undefined thus being the point of discontinuity.

`( (-2)^(2) - 4(-2) - 12)/((-2) + 2)` = undefined

thus when x is -2 the function would be discontinuous