Question

Let $f:R\to R$ be a function defined by $f(x+1)=\frac{f\left(x\right)-5}{f\left(x\right)-3}\forall x\in R$ Then ,which of the following statements is/are true?

• A. $f\left(2008\right)=f\left(2004\right)$
• B. $f\left(2006\right)=f\left(2010\right)$
• C. $f\left(2006\right)=f\left(2002\right)$
• D. $f\left(2006\right)=f\left(2018\right)$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $f\left(2008\right)=f\left(2004\right)$
B $f\left(2006\right)=f\left(2010\right)$
C $f\left(2006\right)=f\left(2002\right)$
D $f\left(2006\right)=f\left(2018\right)$