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

The inverse of f(x)=3x^2-12x is (12+sqrt(144+12x))/6 ,(12-sqrt(144+12x))/6

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

inverse

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

\frac{12 + 144 + 12 x}{6}, \frac{12 - 144 + 12 x}{6}

Solution steps

y = 3 x^{2} - 12 x

Replace

x

with

y

x = 3 y^{2} - 12 y

Solve for

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

\frac{12 + 144 + 12 x}{6}, \frac{12 - 144 + 12 x}{6}

f (x) = 2 x^{3} - x^{2} - 8 x + 4

f (x) = - 2 x + 6

- \frac{5 x}{x - 2}

\frac{x + 1}{2 x - 5}

What is the inverse of f(x)=3x^2-12x ?
The inverse of f(x)=3x^2-12x is (12+sqrt(144+12x))/6 ,(12-sqrt(144+12x))/6