What is the inverse of f(x)=((x+2))/((x+12)) ?

The inverse of f(x)=((x+2))/((x+12)) is (2-12x)/(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+12))

inverse

f (x) = \frac{( x + 2 )}{( x + 12 )}

\frac{2 - 12 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 12}

Replace

x

with

y

x = \frac{y + 2}{y + 12}

Solve for

y, x = \frac{y + 2}{y + 12}

\frac{2 - 12 x}{x - 1}

\frac{1.5}{0.5 + 1}

f (x) = 2 x - 2 - 4

\frac{4 x + 5}{- 5 x + 1}

f (x) = ln (7 - 8 x)

\frac{8 x - 1}{x}

What is the inverse of f(x)=((x+2))/((x+12)) ?
The inverse of f(x)=((x+2))/((x+12)) is (2-12x)/(x-1)