If function \[\text{f(x)=}\left\{ \begin{align} & \text{x,if}\,\,\text{x}\,\,\text{is}\,\,\text{rational} \\ & \text{1-x,if}\,\,\text{x}\,\,\text{is}\,\,\text{irrational} \\ \end{align} \right.\text{,then}\] the number of points at which f(x) is continuous, is-

If function \[\text{f(x)=}\left\{ \begin{align} & \text{x,if}\,\,\t

1.	If function \[\text{f(x)=}\left\{ \begin{align} & \text{x,if}\,\,\text{x}\,\,\text{is}\,\,\text{rational} \\ & \text{1-x,if}\,\,\text{x}\,\,\text{is}\,\,\text{irrational} \\ \end{align} \right.\text{,then}\] the number of points at which f(x) is continuous, is-
A.	\[\infty \]
B.	1
C.	0
D.	None of these
Answer» C. 0

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If function \[\text{f(x)=}\left\{ \begin{align} & \text{x,if}\,\,\text{x}\,\,\text{is}\,\,\text{rational} \\ & \text{1-x,if}\,\,\text{x}\,\,\text{is}\,\,\text{irrational} \\ \end{align} \right.\text{,then}\] the number of points at which f(x) is continuous, is-

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