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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = x - 2 - 3

- (\frac{1}{z ^{- 1}} - \frac{1}{3})

f (x) = \frac{2}{5} x - \frac{1}{5}

f (x) = 2 lo g_{3} (x - 4) + 1

f (x) = \frac{2.5 x + 1}{x}

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