Michael J. answered 08/09/15
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Effective High School STEM Tutor & CUNY Math Peer Leader
Undefined means the denominator is zero.
To find exclusions, we set the denominator equal to zero.
9a2 - 6a + 1 = 0
Factor the left side of equation using FOIL.
(3a - 1)(3a - 1) = 0
Since the factors are equal to each other, we only set one of them equal to zero.
3a - 1 = 0
3a = 1
a = 1/3
This value of a makes the expression undefined. The exclusion is
a = 1/3
Michael J.
Not only that, but there will also be gaps at certain points in the graph due to vertical asymptotes.
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