Posted by Matt- on Monday, November 1, 2010 at 5:26pm.
you are correct,
If you graph it, the graph will approach the x-axis , but will never reach it.
For large positive values of x, the graph will be slightly above the x-axis,
for large negative values of x, the graph will be slightly below the x-axis
if you solve
0 = 1/(x-5) and cross-multiply , you get
0 = 1 which of course is a contradiction. Thus our equaiton cannot have a solution, that is, y can never be zero.
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