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Let f : RRtoRR be defined by f(x)={{:(x"...

Let f : `RRtoRR` be defined by `f(x)={{:(x" "x" is irrational"),(1-x" "x" is rational"):}` then f is

A

discontinuous at `x=1/2`

B

continuous at `x=1/2`

C

continuous everywhere

D

discontinuous everywhere

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