What is the inverse of f(x)=3x^2+5x-2 ?

The inverse of f(x)=3x^2+5x-2 is (-5+sqrt(12x+49))/6 ,(-5-sqrt(12x+49))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=3x^2+5x-2

inverse

f (x) = 3 x^{2} + 5 x - 2

\frac{- 5 + 12 x + 49}{6}, \frac{- 5 - 12 x + 49}{6}

Solution steps

y = 3 x^{2} + 5 x - 2

Replace

x

with

y

x = 3 y^{2} + 5 y - 2

Solve for

y, x = 3 y^{2} + 5 y - 2

\frac{- 5 + 12 x + 49}{6}, \frac{- 5 - 12 x + 49}{6}

(- 6, 11), (- 2, - 5)

f (x) = 4 x^{2}

\frac{2}{2 x - 5}

f (x) = - x + 480 + 130

y = 2 sin (x)

What is the inverse of f(x)=3x^2+5x-2 ?
The inverse of f(x)=3x^2+5x-2 is (-5+sqrt(12x+49))/6 ,(-5-sqrt(12x+49))/6