Question

Find the discontinuity(if any):
http://assessment.casa.uh.edu/Assessment/Images//1643009.gif

Answer 1

you can factorise x^2 -4x -12 as
(x+2)(x-6), hence the first part of the signum function becomes 1/(x-6) hence there is a discontinuity at 6.
At x=-2, both branches of the signum function equal -1/8.