Step-by-step explanation:
let y= f(x)= 2/x^2
[tex] {x}^{2} = \frac{2}{y} \\ or \: x = \sqrt{ \frac{2}{y} } \\ [/tex]
or, f-1(y) = Root(2/y)
or, f-1(x) = Root (2/x)
this is the inverse function of the given.......