Simplify the following rational expression. list all of the excluded values and classify each as a removable discontinuity, or a nonremovable discontinuity

-2/x^2-4 +x-1/x^2-2x

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See below with explanation!

Step-by-step explanation: Important to explain each step so it is clear what you are doing...

Since both are like rational compounds, add them together: (x-3)/(2x^2-2x -4)

Factor out GCF from denomination: (x-3)/ 2(x^2-x-2)

Factor the denom: (x-2)/2(x-2)(x-1)

Restrctions: x = 2 and 1. These are removeable because they make the denom  = .0

Cancel the x-2 factorials: 1/2(x-1).

Final 1/2(x-1), removeable discontinuations are 2 and 1. Nonremovable is just y = 1/2 or .5 since that is the stretch factor.