If function $f(x) = \left\{ \begin{array}{r} x,\ if\ x\ is\ rational \ 1 - x,\ \ if\ x\ is\ irrational \end{array} ight.\$, then the number of points at which $f(x)$ is continuous, is

Question

If function $f(x) = \left\{ \begin{array}{r} x,\ if\ x\ is\ rational \ 1 - x,\ \ if\ x\ is\ irrational \end{array} ight.\$, then the number of points at which $f(x)$ is continuous, is

Dr. Abubacker · Accepted Answer

(c)
At no point, function is continuous

Q. If function $f(x) = \left\{ \begin{array}{r} x,\ if\ x\ is\ rational \\ 1 - x,\ \ if\ x\ is\ irrational \end{array} \right.\$, then the number of points at which $f(x)$ is continuous, is

Explanation

Reviewed by Dr. Abubacker

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