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

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

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

inverse

f (x) = 3 x (x - 2)

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

Solution steps

y = 3 x (x - 2)

Replace

x

with

y

x = 3 y (y - 2)

Solve for

y, x = 3 y (y - 2)

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

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

f (x) = 4 x + 3

y = \frac{x + 3}{x + 7}

y = cos (x^{2})

f (x) = \frac{2}{1 + e ^{[x]}}

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