Answer
$\ y=\ \sqrt{\frac{3}{x}}\ or\ y=\ -\sqrt{\frac{3}{x}}\\$
Work Step by Step
$\ The\ given\ function\ is\ y=\frac{3}{x^{2}}\\
\ Interchanging\ the\ variables\ x\ and\ y\ we\ get\ ,\\
\ x=\frac{3}{y^{2}}\\
\ y^{2}=\frac{3}{x}\\
\ Taking\ the\ square\ root\ on\ both\ sides\ we\ get\ ,\\
\ y=\ \sqrt{\frac{3}{x}}\ or\ y=\ -\sqrt{\frac{3}{x}}\\$