What is the inverse of f(x)=(5x-3)/(1/2-7x) ?

The inverse of f(x)=(5x-3)/(1/2-7x) is -(-6-x)/(2(5+7x))

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-3)/(1/2-7x)

inverse

f (x) = \frac{5 x - 3}{\frac{1}{2} - 7 x}

- \frac{- 6 - x}{2 ( 5 + 7 x )}

Solution steps

y = \frac{5 x - 3}{\frac{1}{2} - 7 x}

Replace

x

with

y

x = \frac{5 y - 3}{\frac{1}{2} - 7 y}

Solve for

y, x = \frac{5 y - 3}{\frac{1}{2} - 7 y}

- \frac{- 6 - x}{2 ( 5 + 7 x )}

f (x) = 2 x^{2} + x

\frac{6}{1 + x ^{2}}

\frac{1 + x}{1 - x}

x^{2} - 5 x - 6

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

What is the inverse of f(x)=(5x-3)/(1/2-7x) ?
The inverse of f(x)=(5x-3)/(1/2-7x) is -(-6-x)/(2(5+7x))