Suppose A Function f is sich that

F(1/x)-3f(x)=x

For every x not equal to 0 find f(2)

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- May 8th 2007, 07:42 AMRimasF is The Function
Suppose A Function f is sich that

F(1/x)-3f(x)=x

For every x not equal to 0 find f(2) - May 8th 2007, 07:46 AMTD!
Substitute x = 2 and x = 1/2 and solve for f(2).

- May 8th 2007, 07:49 AMtopsquark
Note: F(x) and f(x) are NOT the same function! Please be careful of "case" when you write these.

Let me expand a bit on TD's hint:

f(1/x) - 3f(x) = x

Let x = 2:

f(1/2) - 3f(2) = 2

Let x = 1/2

f(2) - 3f(1/2) = 1/2

Call f(1/2) = a and f(2) = b. Then we have the system of equations:

a - 3b = 2

-3a + b = 1/2

You want to solve this system of equations for b.

-Dan - May 8th 2007, 05:47 PMRimas
So the answer is b=3.5a?

- May 8th 2007, 06:32 PMtopsquark