Consider the functions \( f(x)=\left\{\begin{array}{cc}x-1, & -1 \l... VIDEO
Consider the functions \( f(x)=\left\{\begin{array}{cc}x-1, & -1 \leq x \leq 0 \\ x^{2}, & 0 \leq x \leq 1\end{array}\right. \)
\( \mathrm{P} \)
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and \( g(x)=\sin x \).
If \( \quad h_{1}(x)=f(|g(x)|) \)
and \( \quad h_{2}(x)=|f(g(x))| \).
Which of the following is not true about \( h_{2}(x) \) ?
(a) The domain is \( R \)
(b) It is periodic with period \( 2 \pi \)
(c) The range is \( [0,1] \)
(d) None of these
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