Question

help please

Answer 1

Any ideas?

Answer 2

@3mar is helping me already thank you though sir :-)

Answer 3

I think it is A, though..

Answer 4

am i right?

Answer 5

What is the definition of a "removable" discontinuity?

Answer 6

A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph. There is a gap at that location when you are looking at the graph.

Answer 7

@3mar am i right please help

Answer 8

Well if you factor the numerator you can cancel the x-2, right?

Answer 9

Not it is not A

Answer 10

$$\Huge x^2 -4 = x^2 -2^2 = (x+2)(x-2)$$

Answer 11

That leaves f(x) = x + 2

but x is not equal to 2 <----that makes the discontinuity "removable" by stating $$x \ne 2$$

Answer 12

Thank you for good explanation.
I appreciate! @skullpatrol

Answer 13

:D

Answer 14

thank you sir much help :-) @skullpatrol

Answer 15

Thanks for trying to understand.

Answer 16

Thank you very much for the medal, @Sushi121212!
I appreciate!