Answer
$$x\ne -1,1$$
Work Step by Step
As we are given that $f(x)=1,x\gt 1$ and $f(1)=0$
Also, $f(x)=-1$ ; $-1\lt x \lt 1$
For $f(-1)=0$
For $f(x)=1, x\lt 1$
Hence,$$x\ne -1,1$$
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