What is the inverse of f(x)=(-8x+11)/(-2x-5) ?

The inverse of f(x)=(-8x+11)/(-2x-5) is (11+5x)/(2(4-x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=(-8x+11)/(-2x-5)

inverse

f (x) = \frac{- 8 x + 11}{- 2 x - 5}

\frac{11 + 5 x}{2 ( 4 - x )}

Solution steps

y = \frac{- 8 x + 11}{- 2 x - 5}

Replace

x

with

y

x = \frac{- 8 y + 11}{- 2 y - 5}

Solve for

y, x = \frac{- 8 y + 11}{- 2 y - 5}

\frac{11 + 5 x}{2 ( 4 - x )}

What is the inverse of f(x)=(-8x+11)/(-2x-5) ?
The inverse of f(x)=(-8x+11)/(-2x-5) is (11+5x)/(2(4-x))