SOLUTION: Create a function y=f(x) that has a removable discontinuity at x=2 and a non-removable discontinuity x=3.

Question 1147401: Create a function y=f(x) that has a removable discontinuity at x=2 and a non-removable discontinuity x=3.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The removable discontinuity at x=2 means there are factors of (x-2) in both numerator and denominator.

The non-removable discontinuity at x=3 means there is a factor of (x-3) in the denominator and not in the numerator.

Other than that the rational function can have any other factors you want. But basically the function is

The removable discontinuity won't show up on the graph created by the graphing utility on this site; it will show up (as a hole in the graph) on a good graphing calculator like the TI-83.
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