Let \[f(x)=-1+\left| x-1 \right|,-1\le x\le 3\] and \[\le g(x)=2-\left| x+1 \right|,-2\le x\le 2,\] then \[(fog)(x)\], is equal to

\[\left\{ \begin{matrix} x+1-2\le x\le 0 \\ x-10

\[\left\{ \begin{matrix} x-1-2\le x\le 0 \\ x+10

\[\left\{ \begin{matrix} -1-x-2\le x\le 0 \\ x-10

Let \[f(x)=-1+\left| x-1 \right|,-1\le x\le 3\] and \[\le g(x)=2-\left

1.	Let \[f(x)=-1+\left\| x-1 \right\|,-1\le x\le 3\] and \[\le g(x)=2-\left\| x+1 \right\|,-2\le x\le 2,\] then \[(fog)(x)\], is equal to
A.	\[\left\{ \begin{matrix} x+1-2\le x\le 0 \\ x-10<x\le 2 \\ \end{matrix} \right.\]
B.	\[\left\{ \begin{matrix} x-1-2\le x\le 0 \\ x+10<x\le 2 \\ \end{matrix} \right.\]
C.	\[\left\{ \begin{matrix} -1-x-2\le x\le 0 \\ x-10<x\le 2 \\ \end{matrix} \right.\]
D.	None of these
Answer» E.

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Let \[f(x)=-1+\left| x-1 \right|,-1\le x\le 3\] and \[\le g(x)=2-\left| x+1 \right|,-2\le x\le 2,\] then \[(fog)(x)\], is equal to

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