What is the inverse of f(x)=6x^2-12x+1 ?

The inverse of f(x)=6x^2-12x+1 is (12+sqrt(24x+120))/(12),(12-sqrt(24x+120))/(12)

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inverse of f(x)=6x^2-12x+1

inverse

f (x) = 6 x^{2} - 12 x + 1

\frac{12 + 24 x + 120}{12}, \frac{12 - 24 x + 120}{12}

Solution steps

y = 6 x^{2} - 12 x + 1

Replace

x

with

y

x = 6 y^{2} - 12 y + 1

Solve for

y, x = 6 y^{2} - 12 y + 1

\frac{12 + 24 x + 120}{12}, \frac{12 - 24 x + 120}{12}

f (x) = 3 (x + 8)^{7} - 7

f (x) = \frac{8}{2 x - 1}

f (x) = 5 - x + 2

y = - \frac{6}{5} x + 6

5 cos (9 x) + 8

What is the inverse of f(x)=6x^2-12x+1 ?
The inverse of f(x)=6x^2-12x+1 is (12+sqrt(24x+120))/(12),(12-sqrt(24x+120))/(12)