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

The inverse of f(x)=(x-2)/(3x+5) is (-2-5x)/(3x-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

inverse

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

\frac{- 2 - 5 x}{3 x - 1}

Solution steps

y = \frac{x - 2}{3 x + 5}

Replace

x

with

y

x = \frac{y - 2}{3 y + 5}

Solve for

y, x = \frac{y - 2}{3 y + 5}

\frac{- 2 - 5 x}{3 x - 1}

f (x) = - 2

2 x - y = 1

f (x) = \frac{16}{x}

f (x) = \frac{8 - x}{8 - x ( 8 + x )}

f (x) = \frac{x - 5}{x + 5}

What is the inverse of f(x)=(x-2)/(3x+5) ?
The inverse of f(x)=(x-2)/(3x+5) is (-2-5x)/(3x-1)