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What are the discontinuities of the function f(x) = x^2+2x-8/12x+24?
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What are the discontinuities of the function f(x) = x^2+2x-8/12x+24?

User YuAo
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Factor the numerator and denominator of the function to find holes, vertical asymptotes, and horizontal asymptotes.
Numerator: (x - 2)(x + 4)
Denominator: 12(x + 2)
This would mean there is infinite discontinuity at x = -2 (the vertical asymptote).
User Frisk
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