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?

Answer 1

\[\frac{x^2-4x-12}{x+2}\]
is this what you're talking about?

Answer 2

yessss

Answer 3

can you help?

Answer 4

the discontinuity is where a function is not defined. Any situation where you divide by 0 it's going to be undefined (unless its 0/0 which is indeterminate).

Either way, when looking at a function like this, just look at the denominator \(x+2\) and find where it will be 0.
\(x+2 = 0\) for all solutions is discontinuous (in this case it's one solution)

Answer 5

awesome thanks so much