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

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

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))/(x-2)

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f

f (x) = ln (2 - 3 x)

f (x) = \frac{2}{3} (x + 5)

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

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