what is the period of function satisfying the equation - f(x)+f(x+4)=f(x+2)+f(x+6).

Dear Vivek

 f(x)+f(x+4)=f(x+2)+f(x+6)        ........(1)

Replacing x by x+2, we get

f(x+2)+f(x+6)=f(x+4)+f(x+8)      .......(2)

from (1) and (2)

f(x)+f(x+4)=f(x+4)+f(x+8)

==>f(x)=f(x+8)

==>Period =8

Please feel free to post as many doubts on our discussion forum as you can. If you find any question 
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We 
are all IITians and here to help you in your IIT JEE preparation. 


All the best Vivek !!!




Regards,

Askiitians Experts

Sahil Arora
IIT Delhi