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Let `f: R->R` be a function defined by `f(x+1)=(f(x)-5)/(f(x)-3)AAx in R`. Then which of the following statement(s) is/are true?

A

f(2008)=f(2004)

B

f(2006)=f(2010)

C

f(2006)=f(2002)

D

f(2006)=f(2018)

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The correct Answer is:
A, B, C, D
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