What is the inverse of f(x)=6x^2+9x-2 ?

The inverse of f(x)=6x^2+9x-2 is (-9+sqrt(24x+129))/(12),(-9-sqrt(24x+129))/(12)

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inverse of f(x)=6x^2+9x-2

inverse

f (x) = 6 x^{2} + 9 x - 2

\frac{- 9 + 24 x + 129}{12}, \frac{- 9 - 24 x + 129}{12}

Solution steps

y = 6 x^{2} + 9 x - 2

Replace

x

with

y

x = 6 y^{2} + 9 y - 2

Solve for

y, x = 6 y^{2} + 9 y - 2

\frac{- 9 + 24 x + 129}{12}, \frac{- 9 - 24 x + 129}{12}

What is the inverse of f(x)=6x^2+9x-2 ?
The inverse of f(x)=6x^2+9x-2 is (-9+sqrt(24x+129))/(12),(-9-sqrt(24x+129))/(12)