What is the inverse of f(x)=(7x+8)/(2x-7) ?

The inverse of f(x)=(7x+8)/(2x-7) is (8+7x)/(2x-7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(7x+8)/(2x-7)

inverse

f (x) = \frac{7 x + 8}{2 x - 7}

\frac{8 + 7 x}{2 x - 7}

Solution steps

y = \frac{7 x + 8}{2 x - 7}

Replace

x

with

y

x = \frac{7 y + 8}{2 y - 7}

Solve for

y, x = \frac{7 y + 8}{2 y - 7}

\frac{8 + 7 x}{2 x - 7}

\frac{3}{x - 2} + 2

f (x) = 3 + x

\frac{2 x}{3} - 17

f (x) = 5 3 x + 11

f (x) = x - 32

What is the inverse of f(x)=(7x+8)/(2x-7) ?
The inverse of f(x)=(7x+8)/(2x-7) is (8+7x)/(2x-7)