- #1

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Could anyone show me what the graph of y=(x+1)/(x-1) looks like?

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- Thread starter brandon26
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- #1

- 107

- 0

Could anyone show me what the graph of y=(x+1)/(x-1) looks like?

- #2

LeonhardEuler

Gold Member

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[tex]y=\frac{x+1}{x-1}[/tex]

[tex]=\frac{(x-1)+2}{x-1}[/tex]

[tex]=\frac{x-1}{x-1}+\frac{2}{x-1}[/tex]

[tex]=1+\frac{2}{x-1}[/tex]

So it is the graph of y=1/x, just multiplied by two, shifted up by one, and shifted to the left by one.

- #3

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Where does the +2 come from?

Last edited:

- #4

LeonhardEuler

Gold Member

- 859

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[tex]x+1=x-1+1+1=(x-1)+2[/tex]

- #5

- 107

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oh right. Hehe, thanks.

- #6

- 107

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How would simplify y=(1+2x)/(1-x)

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