What is the inverse of f(x)=(x+20)/(x-5) ?

The inverse of f(x)=(x+20)/(x-5) is (20+5x)/(x-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(x+20)/(x-5)

inverse

f (x) = \frac{x + 20}{x - 5}

\frac{20 + 5 x}{x - 1}

Solution steps

y = \frac{x + 20}{x - 5}

Replace

x

with

y

x = \frac{y + 20}{y - 5}

Solve for

y, x = \frac{y + 20}{y - 5}

\frac{20 + 5 x}{x - 1}

(- 4, - 2), (6, 2)

f (x) = x^{2} - 10 x + 16

2 ln (x)

(5, 3), (4, 6)

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

What is the inverse of f(x)=(x+20)/(x-5) ?
The inverse of f(x)=(x+20)/(x-5) is (20+5x)/(x-1)