Function again

Algebra Level 2

\[\large f \left(\dfrac{2}{x}\right) = \dfrac{3 + x}{ 2 + \frac{1}{x}}\]

What is the value of \(3f(2)\)?

Source : Mathematics Competition for Junior High School 2013, Forum Ilmiah Matematika Nasional Universitas Negeri Semarang .