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Let f:[-2,2]toR be a continuous function...

Let `f:[-2,2]toR` be a continuous function such that f(x) assumes only irrational values. If `f(sqrt(2))=sqrt(2)` then-

A

`f(0)=0`

B

`f(sqrt(2)-1)=sqrt(2)-1`

C

`f(sqrt(2)-1)=sqrt(2)+1`

D

`f(sqrt(2)-1)=sqrt(2)`

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