Let \( f, g: R \rightarrow R \) be functions efined by \[ \begin{array}{l} f(x)=\left\{\begin{ar...

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Let \( f, g: R \rightarrow R \) be functions efined by
\[
\begin{array}{l}
f(x)=\left\{\begin{array}{ccc}
{[x],} & x0 \\
|1-x|, & x \geq 0
\end{array}\right. \\
\text { and } g(x)=\left\{\begin{array}{cc}
e^{x}-x, & x0 \\
(x-1)^{2}-1, & x \geq 0
\end{array}\right.
\end{array}
\]
where \( [x] \) denote the greatest integer less than or equal to \( x \). Then, the function \( f o g \) is discontinuous at exactly
(a) One point
(b) Two points
(c) Three points
(d) Four points
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