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I am given the expression f(x)=(x+2)/(x^2-3x-10)

Determine the point(s) of discontinuity of the equation and whether they are point, infinite or jump discontinuities (algebraically, not graphing it out).

y = (x+2)/(x²-3x-10)

y is discontinuous when x = -2 or 5.

I forgot to account for the factoring!

y = (x+2)/(x²-3x-10) = (x+2)/((x+2)(x-5)) = 1/(x-5) when x≠-2.

There is a point discontinuity when x=-2.

There is an infinite, asymptotic discontinuity when x=5.

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