Question

Which equation can be simplified to find the inverse of y = 2x2?
StartFraction 1 Over y EndFraction = 2 x squared
y = one-half x squared
–y = 2x2
x = 2y2

Answer 1

Swap x and y: x = 2y^2 (the fourth option).
Solve for y: y^2 = x/2 → y = ±√(x/2).

If you restrict the original domain (e.g. x ≥ 0) so the inverse is a function, take the positive branch: f⁻¹(x) = √(x/2).