Question 824124
{{{f(x)=(x^2+1)/x}}}
LHS:
{{{f(x)*f(x+1/x)=f(x)*(f(f(x)))=
f(x)(f(x)+1/f(x))=f(x)^2+1}}}
{{{((x^2+1)/x)^2+1=
(x^4+3x^2+1)/x^2}}}

RHS:
{{{f(x^2)+3=((x^2)^2+1)/x^2+3(x^2/x^2)=(x^4+3x^2+1)/x^2}}}