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help please quick question
[tex]f=\frac{x}{x-1}[/tex]
the domain is 1
composite f of f is: f(f(x))
finding the domain of the composite through [tex]\frac{x}{x-1} =1\\x=x-1\\0=-1\\[/tex]
using a graphing calculator, I know that a hole is at (1,1), but can I figure that out without using a graphing calculator and through the domain, say 1=0. Can somebody please just quickly explain this to me.

Answer :