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

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

inverse

f (x) = \frac{x - 2}{3 x + 1}

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

Solution steps

y = \frac{x - 2}{3 x + 1}

Replace

x

with

y

x = \frac{y - 2}{3 y + 1}

Solve for

y, x = \frac{y - 2}{3 y + 1}

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

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

f (x) = x + 36

2^{x}

f (x) = (0, - 3) (- 9, - 9)

\frac{x ^{2} - 2 x + 4}{x - 2}

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