Which equation is the inverse of open paren x minus 4 close paren squared minus 2 thirds is equal to 6 y minus 12 ?

To find the inverse, switch x and y in the original equation: (y − 4)² − 2/3 = 6x − 12. Add 2/3 to both sides to get (y − 4)² = 6x − 34/3, then take the square root and solve for y: y = 4 ± √(6x − 34/3). This matches choice B, y equals 4 plus or minus the square root of 6x − 34/3.

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