Which equation is the inverse of 5 y plus 4 is equal to open paren x plus 3 close paren squared plus 1 half ?

To find the inverse, switch x and y in the original equation: 5x + 4 = (y + 3)² + 1/2. Rearranging gives (y + 3)² = 5x + 7/2, so y = -3 ± √(5x + 7/2). This matches choice B.

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