What is the inverse of f(x)=((2+8x))/(55-9x) ?

The inverse of f(x)=((2+8x))/(55-9x) is -(2-55x)/(8+9x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=((2+8x))/(55-9x)

inverse

f (x) = \frac{( 2 + 8 x )}{55 - 9 x}

- \frac{2 - 55 x}{8 + 9 x}

Solution steps

y = \frac{2 + 8 x}{55 - 9 x}

Replace

x

with

y

x = \frac{2 + 8 y}{55 - 9 y}

Solve for

y, x = \frac{2 + 8 y}{55 - 9 y}

- \frac{2 - 55 x}{8 + 9 x}

What is the inverse of f(x)=((2+8x))/(55-9x) ?
The inverse of f(x)=((2+8x))/(55-9x) is -(2-55x)/(8+9x)