What is the inverse of f(x)=(5x+8)/(-3x-1) ?

The inverse of f(x)=(5x+8)/(-3x-1) is -(8+x)/(5+3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(5x+8)/(-3x-1)

inverse

f (x) = \frac{5 x + 8}{- 3 x - 1}

- \frac{8 + x}{5 + 3 x}

Solution steps

y = \frac{5 x + 8}{- 3 x - 1}

Replace

x

with

y

x = \frac{5 y + 8}{- 3 y - 1}

Solve for

y, x = \frac{5 y + 8}{- 3 y - 1}

- \frac{8 + x}{5 + 3 x}

f (x) = \frac{3 - x}{5 - x}

f (x) = - 3 x^{2} + 6 x + 2

f (x) = 1300 x + 5500

9 x + 5

What is the inverse of f(x)=(5x+8)/(-3x-1) ?
The inverse of f(x)=(5x+8)/(-3x-1) is -(8+x)/(5+3x)