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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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