What is the inverse of f(x)=3y^2-12y+3 ?

The inverse of f(x)=3y^2-12y+3 is (12+sqrt(12y+108))/6 ,(12-sqrt(12y+108))/6

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inverse of f(x)=3y^2-12y+3

inverse

f (x) = 3 y^{2} - 12 y + 3

\frac{12 + 12 y + 108}{6}, \frac{12 - 12 y + 108}{6}

Solution steps

x = 3 y^{2} - 12 y + 3

Replace

y

with

x

y = 3 x^{2} - 12 x + 3

Solve for

x, y = 3 x^{2} - 12 x + 3

\frac{12 + 12 y + 108}{6}, \frac{12 - 12 y + 108}{6}

f (x) = 3 - 2 xx - 5

f (x) = \frac{2 x - 1}{( x + 1 )}

f (x) = - 8.4 x + 378

\frac{8 x}{3 x - 2}

f (x) = \frac{1}{1 - a}

What is the inverse of f(x)=3y^2-12y+3 ?
The inverse of f(x)=3y^2-12y+3 is (12+sqrt(12y+108))/6 ,(12-sqrt(12y+108))/6