Question Number 10170 by Joel575 last updated on 28/Jan/17

y . f(xy) = f(x)        x,y ∈ R  If f(4) = 1006, so f(2012) = ?

Answered by ridwan balatif last updated on 28/Jan/17

f(xy)=((f(x))/y),    f(4)=1006  if x=1 y=4,then  f(1.4)=((f(1))/4)  f(4)=((f(1))/4)  1006=((f(1))/4)  4=((f(1))/(1006))   f(1.1006)=4  f(1006)=4  if x=2 y=2  f(2.2)=((f(2))/2)  f(4)=((f(2))/2)  2=((f(2))/(1006))  2=f(2.1006)  f(2012)=2