If f (x) is a polynomial function satisfying 2 + f (x) f (y) = f (x) + f (y) +f (xy) , for all x,y belong to R and f (2) =5.

Find the value of f (f (2)).

Question

If f (x) is a polynomial function satisfying 2 + f (x) f (y) = f
(x) + f (y) +f (xy) , for all x,y belong to R and f (2) =5
Find the value of f (f (2))

Anuradha Sharma · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_554bad2692993%20png"
style="width: 611px; height: 265px;">
So ff2=f5=52+1=26

If f (x) is a polynomial function satisfying 2 + f (x) f (y) = f (x) + f (y) +f (xy) , for all x,y belong to R and f (2) =5. Find the value of f (f (2)).

If f (x) is a polynomial function satisfying 2 + f (x) f (y) = f (x) + f (y) +f (xy) , for all x,y belong to R and f (2) =5.

Find the value of f (f (2)).