Question

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

Answer 1

Here is the question, just checking this one too.

Answer 2

\[\frac{ (x + 6)(x - 4) }{ 6(x + 4) }\]

This is the part I'm stumped on. How do I find the discontinuity?

Answer 3

hello , discontinuous of function means that at which number the denominator becomes zero
so here only -4 is that number which make the denominator zero so the function is discontinuous on -4

Answer 4

So the 6 next to the (x + 4) doesn't really matter, just the (x + 4)?

Answer 5

No it does not matter. It could be a million. What matters is when it is multiplied by zero, and that happens when x=-4.

Answer 6

Thanks guys!