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College Algebra  /  Alg 378  ·  Atom · ~20 seconds

Removable Discontinuities

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A removable discontinuity — a hole — sits at a denominator zero whose factor cancels; the value stays excluded anyway.

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In (x² − 9)/(x² + 5x + 6), the factor x + 3 cancels; the graph is (x − 3)/(x + 2) minus one point — a hole at (−3, 6).

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