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

At what point does the function f(x)=6x-12/x^2-5x+6 have a hole? Thank you so much!!
asked 28.2k views
4 votes
At what point does the function f(x)=6x-12/x^2-5x+6 have a hole?

Thank you so much!!

asked
User Ivoputzer
by
7.3k points

1 Answer

6 votes
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)
answered
User Valvoline
by
8.5k points
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