# Thread: (x-1)f(x) + f(1/x) = 1

1. ## (x-1)f(x) + f(1/x) = 1

The function f(x) satisfies the equation

(x-1)f(x) + f(1/x) = 1 for all x not = 0.

What is the value for f(2)?

Thank you.

2. Let $x=2$

$f(2)+f(\frac{1}{2})=1$ --------------------(1)

Let $x=\frac{1}{2}$

$-\frac{1}{2}f(\frac{1}{2})+f(2)=1$

$-f(\frac{1}{2})+2f(2)=2$ --------------------(2)

$3f(2)=3$
$f(2)=1$