Question #42dc1

1 Answer
Nov 13, 2017

Include #(x+5)*(x-6)# in the denominator, and ensure that the numerator is a polynomial of at least degree 4 with those as factors.

Explanation:

As an example, consider the function #((x^2)(x+5)(x-6) )/ ((x+5)(x-6)) = x^2#.

At the values #x=-5, x=6#, the function will have a removable discontinuity. At all other points in the domain, it will act like #x^2#.