What is the inverse of f(x)=(5x-7)/(-8x+1) ?

The inverse of f(x)=(5x-7)/(-8x+1) is -(-7-x)/(5+8x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=(5x-7)/(-8x+1)

inverse

f (x) = \frac{5 x - 7}{- 8 x + 1}

- \frac{- 7 - x}{5 + 8 x}

Solution steps

y = \frac{5 x - 7}{- 8 x + 1}

Replace

x

with

y

x = \frac{5 y - 7}{- 8 y + 1}

Solve for

y, x = \frac{5 y - 7}{- 8 y + 1}

- \frac{- 7 - x}{5 + 8 x}

What is the inverse of f(x)=(5x-7)/(-8x+1) ?
The inverse of f(x)=(5x-7)/(-8x+1) is -(-7-x)/(5+8x)