What is the inverse of f(x)=3x^2-9x+6 ?

The inverse of f(x)=3x^2-9x+6 is (9+sqrt(12x+9))/6 ,(9-sqrt(12x+9))/6

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inverse of f(x)=3x^2-9x+6

inverse

f (x) = 3 x^{2} - 9 x + 6

\frac{9 + 12 x + 9}{6}, \frac{9 - 12 x + 9}{6}

Solution steps

y = 3 x^{2} - 9 x + 6

Replace

x

with

y

x = 3 y^{2} - 9 y + 6

Solve for

y, x = 3 y^{2} - 9 y + 6

\frac{9 + 12 x + 9}{6}, \frac{9 - 12 x + 9}{6}

What is the inverse of f(x)=3x^2-9x+6 ?
The inverse of f(x)=3x^2-9x+6 is (9+sqrt(12x+9))/6 ,(9-sqrt(12x+9))/6