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Graph of y=(x+1)/(x-1)

  • Thread starter brandon26
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107
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Could anyone show me what the graph of y=(x+1)/(x-1) looks like?
 

Answers and Replies

LeonhardEuler
Gold Member
858
1
This should help:
[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.
 
107
0
Where does the +2 come from?
 
Last edited:
LeonhardEuler
Gold Member
858
1
[tex]x+1=x-1+1+1=(x-1)+2[/tex]
 
107
0
oh right. Hehe, thanks.
 
107
0
How would simplify y=(1+2x)/(1-x)
 

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