Register to reply

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

by brandon26
Tags: graphs
Share this thread:
brandon26
#1
Sep10-05, 08:48 AM
P: 107
Could anyone show me what the graph of y=(x+1)/(x-1) looks like?
Phys.Org News Partner Science news on Phys.org
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief
LeonhardEuler
#2
Sep10-05, 08:58 AM
PF Gold
LeonhardEuler's Avatar
P: 864
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
PF Gold
LeonhardEuler's Avatar
P: 864
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)


Register to reply

Related Discussions
Very simple calculus problem...graphs and velocity/time graphs to acceleration. Calculus & Beyond Homework 1
Graphs of f(t) and g (t) Precalculus Mathematics Homework 6
Person A spends all his income ($100) on good X and composite good Y. General Math 1
Drawing velocity time graphs from distance-time graphs Introductory Physics Homework 2
Is there a name for these graphs? General Engineering 2