x) =3xf(2)=?при х>0...

akka2887 @akka2887

July 2022 1 15 Report

Помогите!
f(x)+2f(2002/x) =3x
f(2)=?
при х>0

Answers & Comments

igorShap

Verified answer

$x=2=>f(2)+2f(\dfrac{2002}{2})=3*2=>f(2)+2f(1001)=6\\ x=1001=>f(1001)+2f(\dfrac{2002}{1001})=3*1001=>f(1001)+2f(2)=3003=>f(1001)=3003-2f(2)\\ f(2)+2f(1001)=6=>f(2)+2(3003-2f(2))=6=>-3f(2)+6006=6=>3f(2)=6000=>f(2)=2000$

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