Graphs

by brandon26
Tags: graphs
 P: 107 Could anyone show me what the graph of y=(x+1)/(x-1) looks like?
 PF Patron P: 864 This should help: $$y=\frac{x+1}{x-1}$$ $$=\frac{(x-1)+2}{x-1}$$ $$=\frac{x-1}{x-1}+\frac{2}{x-1}$$ $$=1+\frac{2}{x-1}$$ So it is the graph of y=1/x, just multiplied by two, shifted up by one, and shifted to the left by one.
 P: 107 Where does the +2 come from?
PF Patron
P: 864

Graphs

$$x+1=x-1+1+1=(x-1)+2$$
 P: 107 oh right. Hehe, thanks.
 P: 107 How would simplify y=(1+2x)/(1-x)

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