SOLUTION: Please help me understand how to graph this problem: (x-2)/{(x-1)(x-3)}=(x-2)/{(x-2)(x-3)} When I simplify this, it turns out to be 0=0. How would I graph this problem? Is it a h

Algebra ->  Rational-functions -> SOLUTION: Please help me understand how to graph this problem: (x-2)/{(x-1)(x-3)}=(x-2)/{(x-2)(x-3)} When I simplify this, it turns out to be 0=0. How would I graph this problem? Is it a h      Log On


   



Question 1040430: Please help me understand how to graph this problem:
(x-2)/{(x-1)(x-3)}=(x-2)/{(x-2)(x-3)}
When I simplify this, it turns out to be 0=0. How would I graph this problem? Is it a horizontal/vertical line, or can it be any point on the graph? Are there any restrictions?

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please help me understand how to graph this problem:
(x-2)/((x-1)(x-3)) = (x-2)/((x-2)(x-3))
When I simplify this, it turns out to be 0=0. How would I graph this problem?
Is it a horizontal/vertical line, or can it be any point on the graph? Are there any restrictions?
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In the right side you can cancel (x-2) in the numerator and denominator.
The plot remains without changes. Then the right side will be 1%2F%28x-3%29.



Plots y = %28x-2%29%2F%28%28x-1%29%28x-3%29%29 (red) and y = 1%2F%28x-3%29 (green)