Question

Math help, please?

Answer 1

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 2

@Nnesha Do you think you could help me out, please?

Answer 3

I think you just have to look at your denominator.
Which is
x+2

The discontinuity is when the denominator equals 0
So
what value of x makes the denominator zero?

Answer 4

2?

Answer 5

No.
2+2 doesn't equal 0

Answer 6

-2

Answer 7

Sorry, I missed that negative sign. Aha

Answer 8

Yes.
So the discontinuity is x=-2

Answer 9

well my answer choices are
-6, 0
6, 0
-2, -8
2, -4
@nikato

Answer 10

Wel.. There's only one choice with -2

Answer 11

Ok, thanks! I was going to post an other question.. would you mind if I tagged you for you to possibly help me out?

Answer 12

But I could also tell you how they have -8 there

Answer 13

And yes. I will help you

Answer 14

x^2 -4x -12
If you factor
(x-6)(x+2)
----------
x+2

The x+2 cancels out.

So you're left with f(x)=x-6
And remember we said x can't be -2 because the denominator would be zero and that's a no no.

So we plug that into x-6
So -2-6=-8