kill(all)$

van=facebook.com/LearningCalculus$

      Confirmation of existing solutions ∀ x ∈ ℝ - {0} 

f(x):=-(2*x^4+3)/(5*x^2)$

g(x):=2*f(x)-3*f(1/x) = x^2$

ratsimp(g(x));

f(2);