What is the inverse of f(x)=((x+10))/((x-7)) ?

The inverse of f(x)=((x+10))/((x-7)) is (10+7x)/(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+10))/((x-7))

inverse

f (x) = \frac{( x + 10 )}{( x - 7 )}

\frac{10 + 7 x}{x - 1}

Solution steps

y = \frac{x + 10}{x - 7}

Replace

x

with

y

x = \frac{y + 10}{y - 7}

Solve for

y, x = \frac{y + 10}{y - 7}

\frac{10 + 7 x}{x - 1}

(- 3.1) (7.3)

- x^{2} + 5 x - 4

y = \frac{23}{5} x - 12

y = (1 - e^{x})^{\frac{1}{- e ^{x}}}

f (x) = - ln (x)

What is the inverse of f(x)=((x+10))/((x-7)) ?
The inverse of f(x)=((x+10))/((x-7)) is (10+7x)/(x-1)