What is the inverse of f(x)=3x^2-12x+4 ?

The inverse of f(x)=3x^2-12x+4 is (12+sqrt(12x+96))/6 ,(12-sqrt(12x+96))/6

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inverse of f(x)=3x^2-12x+4

inverse

f (x) = 3 x^{2} - 12 x + 4

\frac{12 + 12 x + 96}{6}, \frac{12 - 12 x + 96}{6}

Solution steps

y = 3 x^{2} - 12 x + 4

Replace

x

with

y

x = 3 y^{2} - 12 y + 4

Solve for

y, x = 3 y^{2} - 12 y + 4

\frac{12 + 12 x + 96}{6}, \frac{12 - 12 x + 96}{6}

X^{3}

f (x) = \frac{( 6 - 7 x )}{( 8 - 5 x )}

x (x + 1)

f (x) = x^{\frac{5}{3}}

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

What is the inverse of f(x)=3x^2-12x+4 ?
The inverse of f(x)=3x^2-12x+4 is (12+sqrt(12x+96))/6 ,(12-sqrt(12x+96))/6