if f(x)=f(x+1/x+2),then f(-x)=f(-(x+1)/(x+2)) or f(1-x/2-x)

Hello Vishu,

Nice question you asked. I think many people get confused over the same.

In general the rule is

IF  f(x) = g(x)  then

f(alpha*x) = g(alpha*x).     Note in this problem  g(x) = f(x+1/x+2)  and alpha =-1.

So the correct answer is f(1-x/2-x). You just x to alpha*x , you don't apply any brackets etc etc...

Hope this answers your query.

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All the best!!


Regards

Askiitians Expert

Ankit Jain- IIT Bombay