What is the inverse of f(x)=(5x+1)/(2-5x) ?

The inverse of f(x)=(5x+1)/(2-5x) is -(1-2x)/(5(1+x))

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+1)/(2-5x)

inverse

f (x) = \frac{5 x + 1}{2 - 5 x}

- \frac{1 - 2 x}{5 ( 1 + x )}

Solution steps

y = \frac{5 x + 1}{2 - 5 x}

Replace

x

with

y

x = \frac{5 y + 1}{2 - 5 y}

Solve for

y, x = \frac{5 y + 1}{2 - 5 y}

- \frac{1 - 2 x}{5 ( 1 + x )}

3 x - 7

f (x) = - 4 x^{3} + 12 x^{2} - 2

f (x) = \frac{- 2 x ^{2} - 13 x + 35}{x - 1}

h (t) = \frac{1}{t ^{3} + 2}

f (x) = \frac{2 + x}{7 - x}

What is the inverse of f(x)=(5x+1)/(2-5x) ?
The inverse of f(x)=(5x+1)/(2-5x) is -(1-2x)/(5(1+x))