What is the inverse of f(x)=(2x-4)/(x-3) ?

The inverse of f(x)=(2x-4)/(x-3) is (-4+3x)/(x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(2x-4)/(x-3)

inverse

f (x) = \frac{2 x - 4}{x - 3}

\frac{- 4 + 3 x}{x - 2}

Solution steps

y = \frac{2 x - 4}{x - 3}

Replace

x

with

y

x = \frac{2 y - 4}{y - 3}

Solve for

y, x = \frac{2 y - 4}{y - 3}

\frac{- 4 + 3 x}{x - 2}

\frac{2 ^{4 x - 1} \cdot 3 ^{x - 2}}{1 2 ^{x - 2}}

\frac{6 x - 2}{2 x + 6}

\frac{23 - 3 x}{6 x}

f (x) = 3 ln (x) - 2

f (x) = e^{s i n (x)}

What is the inverse of f(x)=(2x-4)/(x-3) ?
The inverse of f(x)=(2x-4)/(x-3) is (-4+3x)/(x-2)