(1/x)f(x) + f(1/x) = x
replacing x with x
f(x)/x + f(1/x) = x
multiply by x:
f(x)  x*f(1/x) = x^2 eqn 1
replacing x with 1/x
x*f(1/x) + f(x) = 1/x eqn 2
Adding eqns 1 and 2 gives
f(x) = (1/2)(x^2 + 1/x)
f(x) = (x^3 + 1)/(2x)
(same solution as paul)
Edited on December 24, 2023, 2:56 pm

Posted by Larry
on 20231224 14:55:35 