Question

calc help!

Answer 1

There is a removable discontinuity at x = 3.

There is a non-removable discontinuity at x = 3.

The function is continuous for all real numbers.

Answer 2

Well if we had f(x)=(x^2-9)/(x-3)
this is not continuous at x=3
but if we wrote f(x)=(x-3)(x+3)/(x-3)
then we could cancel the x-3's
and we would have f(x)=x+3
so you can then say the discontinuity is removable at x=3
because we just removed it but canceling the x-3's out

Answer 3

can you do in your problem?

Answer 4

yes, it would be A (:

Answer 5

well not exactly

Answer 6

can you simplify your fraction?

Answer 7

or reduce it is another way to say simplify in this case

Answer 8

yes, factor then cancel

Answer 9

x^2+9 cannot be factored
therefore you cannot get rid of the x-3 on bottom
therefore you cannot remove the discontinuity at x=3

Answer 10

well x^2+9 cannot be factored just over the reals anyways

Answer 11

x^2+9=(x-3i)(x+3i)

Answer 12

ohhh so it's B, my bad i got confused

Answer 13

yes
do you understand your answer though?

Answer 14

yes, you explained it extremely well

Answer 15

thanks :)