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mezya [45]
2 years ago
8

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

Mathematics
1 answer:
Naddika [18.5K]2 years ago
4 0

Note that

\frac{x^2-1}{x^3 - 2x^2 -x+2}=\frac{x^2 -1}{x^2 (x-2)-(x-2)}=\frac{x^2 -1}{(x^2 -1)(x-2)}

So, for all x \neq \pm 1, f(x)=\frac{1}{x-2}.

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

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