Respuesta :

Given,

The function is:

[tex]f(x)=x+\frac{12}{x}[/tex]

Taking x = -x then,

[tex]\begin{gathered} f(-x)=-x+\frac{12}{-x} \\ =-x-\frac{12}{x} \\ =-(x+\frac{12}{x}) \\ =-f(x) \end{gathered}[/tex]

The function is odd.