What is the inverse of f(x)=((x+5))/((x+6)) ?

The inverse of f(x)=((x+5))/((x+6)) is (5-6x)/(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+5))/((x+6))

inverse

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

\frac{5 - 6 x}{x - 1}

Solution steps

y = \frac{x + 5}{x + 6}

Replace

x

with

y

x = \frac{y + 5}{y + 6}

Solve for

y, x = \frac{y + 5}{y + 6}

\frac{5 - 6 x}{x - 1}

y = 7 - 3 x^{2}

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

f (x) = \frac{2}{3} x^{3} - 7

84 x^{3}

2^{2 a - 1}

What is the inverse of f(x)=((x+5))/((x+6)) ?
The inverse of f(x)=((x+5))/((x+6)) is (5-6x)/(x-1)