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

The inverse of f(x)=3x^2-6x is (6+sqrt(36+12x))/6 ,(6-sqrt(36+12x))/6

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

inverse

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

\frac{6 + 36 + 12 x}{6}, \frac{6 - 36 + 12 x}{6}

Solution steps

y = 3 x^{2} - 6 x

Replace

x

with

y

x = 3 y^{2} - 6 y

Solve for

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

\frac{6 + 36 + 12 x}{6}, \frac{6 - 36 + 12 x}{6}

f (x) = 5 x^{2} - 15 x + 3

e^{x} - 2

f (x) = x^{2} + 4 x + 1

sec (x - \frac{π}{2})

What is the inverse of f(x)=3x^2-6x ?
The inverse of f(x)=3x^2-6x is (6+sqrt(36+12x))/6 ,(6-sqrt(36+12x))/6