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.

answer: give more info

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)