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Sketch a graph of the following rational function: h(x)= x²-1/ x³-2x²-x+2​

User Moujtahed
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1 Answer

6 votes

Note that


(x^2-1)/(x^3 - 2x^2 -x+2)=(x^2 -1)/(x^2 (x-2)-(x-2))=(x^2 -1)/((x^2 -1)(x-2))

So, for all
x \\eq \pm 1,
f(x)=(1)/(x-2).

So, the graph looks like something like as following in the image.

Sketch a graph of the following rational function: h(x)= x²-1/ x³-2x²-x+2​-example-1
User Lemiant
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