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

Let f : `R to 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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