What is the inverse of f(x)=3x^2-6x+1 ?

The inverse of f(x)=3x^2-6x+1 is (6+sqrt(12x+24))/6 ,(6-sqrt(12x+24))/6

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inverse of f(x)=3x^2-6x+1

inverse

f (x) = 3 x^{2} - 6 x + 1

\frac{6 + 12 x + 24}{6}, \frac{6 - 12 x + 24}{6}

Solution steps

y = 3 x^{2} - 6 x + 1

Replace

x

with

y

x = 3 y^{2} - 6 y + 1

Solve for

y, x = 3 y^{2} - 6 y + 1

\frac{6 + 12 x + 24}{6}, \frac{6 - 12 x + 24}{6}

(0.6) (6.14)

\frac{2 x ^{2}}{x ^{2} + 2}

(2 - 5 x) x

f (x) = 3 cos (x)

What is the inverse of f(x)=3x^2-6x+1 ?
The inverse of f(x)=3x^2-6x+1 is (6+sqrt(12x+24))/6 ,(6-sqrt(12x+24))/6