Question

What are the discontinuities of the function
f(x) = (x^2-16)/(6x+24) ?

a.x ≠ – 4
b.x ≠ 4
c.x ≠– 6
d.x ≠ 6

Answer 1

the function is discontinuous at x=-4

Answer 2

find the critical numbers, in this case, when denominator equals 0. then take the limit as x approaches this number from the left and right. if you get 2 different answers, it is discontinuous there. considering there's only one critical number here, you don't have to check the limit. it is x=-4

Answer 3

Awesome thanks!!