What is the inverse of f(x)=(x+15)/(x-5) ?

The inverse of f(x)=(x+15)/(x-5) is (15+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+15)/(x-5)

inverse

f (x) = \frac{x + 15}{x - 5}

\frac{15 + 5 x}{x - 1}

Solution steps

y = \frac{x + 15}{x - 5}

Replace

x

with

y

x = \frac{y + 15}{y - 5}

Solve for

y, x = \frac{y + 15}{y - 5}

\frac{15 + 5 x}{x - 1}

f (x) = t^{4} - 16 t^{3} + 22 t^{2}

f (x) = - (x + 1)^{3} - 2

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

f (x) = 12 x^{3} - 35

- 3 x^{4} - 14 x^{3} - 16 x^{2} - 2 x + 3

What is the inverse of f(x)=(x+15)/(x-5) ?
The inverse of f(x)=(x+15)/(x-5) is (15+5x)/(x-1)