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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = x + \frac{10}{3}

f (x) = \frac{x + 3}{4 x - 2}

f (x) = \frac{1}{4} x - \frac{3}{4}

f (x) = 3 ln (x + 5) - 2

f (x) = sin (x^{3} + 1)

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