removable, nonremovable discontinuities in (x-2)/(x^2+x-6)

[KingAce]

What's the removable and nonremovable discontinuities in the equation below?

(x-2)/(x^2 + x - 6)

(show work please!!!)

 

[Mrspi]

What's the removable and nonremovable discontinuities in the equation below?

(x-2)/(x^2 + x - 6)

(show work please!!!)

Ummmm..."show work please"???

Could we ask for the same favor?

Why don't you show us YOUR work, so we can see where your difficulty lies.

What constitutes a discontinuity? Please look at your textbook definitions and examples, and show us how you'd apply it to this problem.

I'm really sorry...."show work" looks to me like you want us to do the problem for you, and that's not why we're here.

 

[KingAce]

Here's my work, and here's my answers:

(x-2)/(x^2+x-6)
(x-2)/(x-2)(x+3)
=1/(x+3)

removable x = 2 nonremovable x = -3

 

[Mrspi]

Here's my work, and here's my answers:

(x-2)/(x^2+x-6)
(x-2)/(x-2)(x+3)
=1/(x+3)

removable x = 2 nonremovable x = -3

Your work is correct.

 

[stapel]

Thread edited to remove obsceneties and abuse, and locked. Many thanks to the tutor for her patience. :wink: