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

by brandon26
Tags: graphs
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brandon26
#1
Sep10-05, 08:48 AM
P: 107
Could anyone show me what the graph of y=(x+1)/(x-1) looks like?
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LeonhardEuler
#2
Sep10-05, 08:58 AM
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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.
brandon26
#3
Sep10-05, 09:02 AM
P: 107
Where does the +2 come from?

LeonhardEuler
#4
Sep10-05, 09:11 AM
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Graph of y=(x+1)/(x-1)

[tex]x+1=x-1+1+1=(x-1)+2[/tex]
brandon26
#5
Sep10-05, 09:12 AM
P: 107
oh right. Hehe, thanks.
brandon26
#6
Sep10-05, 09:13 AM
P: 107
How would simplify y=(1+2x)/(1-x)


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