What is the inverse of f(x)=2x^2+3x+14 ?

The inverse of f(x)=2x^2+3x+14 is (-3+sqrt(8x-103))/4 ,(-3-sqrt(8x-103))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=2x^2+3x+14

inverse

f (x) = 2 x^{2} + 3 x + 14

\frac{- 3 + 8 x - 103}{4}, \frac{- 3 - 8 x - 103}{4}

Solution steps

y = 2 x^{2} + 3 x + 14

Replace

x

with

y

x = 2 y^{2} + 3 y + 14

Solve for

y, x = 2 y^{2} + 3 y + 14

\frac{- 3 + 8 x - 103}{4}, \frac{- 3 - 8 x - 103}{4}

What is the inverse of f(x)=2x^2+3x+14 ?
The inverse of f(x)=2x^2+3x+14 is (-3+sqrt(8x-103))/4 ,(-3-sqrt(8x-103))/4