Answer
$x\ne -1,1$
Work Step by Step
$f(x)=1,x\gt 1$
$F(1)=0$
$f(x)=-1$
$-1\lt x \lt 1$
$f(-1)=0$
$f(x)=1, x\lt 1$
Thus, $x\ne -1,1$
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