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