15-2-2009 maths

find all functions f:Q→R such that for all x,y ξ Q

f(xy)=f(x)f(y)-f(x+y)+1

x,y ξ Q means for all x,y belonging to Q.

3 Answers

1
sidsgr88 Bora ·

i got only one answer....f(x)=1
strange.....
dif the equation wrt x keeping y const.....
yf'(xy)=f'(x)f(y)-f'(x+y)+1
now onc putting y=0
and onc x=0,y=x

1
sidsgr88 Bora ·

abhi to main neend mein hn ill update the soln later

39
Dr.House ·

ok

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