Let f:R rarr R be such that f(2x-1)=f(x)...

Let `f:R rarr R` be such that `f(2x-1)=f(x)` for all `x in R`. If f is continuous at x = 1 and f(1) = 1. then

A

f(2)=1

B

f(2)=2

C

f is continuous only at x=1

D

f is continuous at all points

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The correct Answer is:

A, D

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