Question

At what point does the function f(x)=6x-12/x^2-5x+6 have a hole?


Thank you so much!!

Answer 1

6x - 12 / x^2 - 5x + 6
= 6(x - 2) / [(x - 3)(x - 2)]
= 6 / (x - 3)

It will have a hole at the point (0,-2)