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If $f:R\rightarrow R\:\:and\:\:f(x)=|x|$ and $A=(0,1)$, then find $f^{-1}(A)$

(A) $(-1,1)$ (B) $(0,1)$ (C) $(-1,0)$ (D) None of these
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1 Answer

$f^{-1}(A)=\{x\in R:f(x)\in A\}$
$\Rightarrow\:|x|\in (0,1)$
$\Rightarrow\:0<|x|<1$
$\Rightarrow\:-1<x<1$

 

answered May 27, 2013 by rvidyagovindarajan_1
 

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