Which equation is the inverse of y is equal to 9 x squared minus 4 ?

To find the inverse, swap x and y in y = 9x² − 4, giving x = 9y² − 4. Solving for y gives y² = (x + 4)/9, so y = ±√(x + 4)/3. This matches choice C, with the plus-or-minus sign accounting for both square roots.

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