The inverse of the equation can be solved by switching the placement of each x and y value (plug y in for each x, x in for each why.)
Then you must solve for y, look below for steps and the solution.
x=2y^2
x/2=y^2
y= √(x/2)
It may be expected that you include a positive and negative value for the square root, so the answer may need to be displayed as...
y=±√(x/2)
Ask your teacher for what the expect from you and your answer.