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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = \frac{4 - 3 x}{7 - 9 x}

f (x) = (x^{\frac{1}{5}} - 7)^{7}

f (x) = \frac{x}{2 x - 6}

g (x) = lo g_{3} (x)

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