Question

Give an example of a function with both a removable and a non-removable discontinuity.

Answer 1

I think this is asking for a function with a vertical asymptote as well as a hole on different y values

Answer 2

@Miracrown

Answer 3

make a rational function where one factor of the denominator cancels with one factor of the numerator

Answer 4

so i think one quadractric over another with binomials that cancel out?

Answer 5

or simpler than that?

Answer 6

that would do it

Answer 7

so would
\[\frac{x-1}{(x+1)(x-1)}\]

Answer 8

ohhh okay thank you very much, a huge help you have been @satellite73

Answer 9

yw