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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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