Which equation is the inverse of y is equal to 2 x squared minus 8 ?

To find the inverse, switch x and y in the original equation: x = 2y² − 8. Add 8 to get x + 8 = 2y², then divide by 2 and take the square root, allowing both positive and negative values: y = ±√((x + 8)/2). This matches choice C.

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