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

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

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)/(2x-1)

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

x + 4 y = - 2

f (x) = \frac{1}{3} x - 9

f (x) = - 2 x^{3} - 9 x^{2} + 24 x + 3

f (x) = x^{2} + 4 x + 3

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