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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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}

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)