What is the inverse of f(x)=(6+2x)/(4-7x) ?

The inverse of f(x)=(6+2x)/(4-7x) is -(6-4x)/(2+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)=(6+2x)/(4-7x)

inverse

f (x) = \frac{6 + 2 x}{4 - 7 x}

- \frac{6 - 4 x}{2 + 7 x}

Solution steps

y = \frac{6 + 2 x}{4 - 7 x}

Replace

x

with

y

x = \frac{6 + 2 y}{4 - 7 y}

Solve for

y, x = \frac{6 + 2 y}{4 - 7 y}

- \frac{6 - 4 x}{2 + 7 x}

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

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

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

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

f (x) = \frac{1}{3} x^{3} + 3 x^{2} + 8 x

What is the inverse of f(x)=(6+2x)/(4-7x) ?
The inverse of f(x)=(6+2x)/(4-7x) is -(6-4x)/(2+7x)