Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) Let ƒ be a real valued function such that`f(x)+2f(2002/x)`=3x for all x>0. the value of f(2)is - Sarthaks eConnect

0. the value of f(2)is

Let ƒ be a real valued function such that

`f(x)+2f(2002/x)`=3x for all x>0. the value of f(2)is

1000

2000

3000

4000

Solution

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Best answer

Putting x = 2, we get

ƒ(2) + 2ƒ(1001) = 6 ..........(i)

Putting x = 1001, we get ƒ(1001) + 2ƒ(2) = 3003 .........(ii)

Solving for ƒ(2), we get ƒ(2) = 2000