Which equation is the inverse of y = 9x^2 - 4?

The inverse of the given equation is gotten as;

f⁻¹(x) = ±√((x + 4)/9)

We are given the equation;

y = 9x² - 4

To find the inverse, we first have to make x the subject of the formula;

y = 9x² - 4

y + 4 = 9x² - 4 + 4

y + 4 = 9x²

(y + 4)/9 = 9x²/9

(y + 4)/9 = x²

Taking square root of both sides gives;

±√((y + 4)/9) = x

The inverse will be gotten by replacing y with x. Thus, the inverse is;

f⁻¹(x) = ±√((x + 4)/9)

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