What is the inverse of f(x)=((2x+5))/(x+7) ?

The inverse of f(x)=((2x+5))/(x+7) is (5-7x)/(x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=((2x+5))/(x+7)

inverse

f (x) = \frac{( 2 x + 5 )}{x + 7}

\frac{5 - 7 x}{x - 2}

Solution steps

y = \frac{2 x + 5}{x + 7}

Replace

x

with

y

x = \frac{2 y + 5}{y + 7}

Solve for

y, x = \frac{2 y + 5}{y + 7}

\frac{5 - 7 x}{x - 2}

y = \frac{3}{4} x - 7

2 e^{- x} + 1

f (x) = x^{2} + 5 x + 12

y = 2 x + 7

f (x) = (x - 3)^{2} + 9

What is the inverse of f(x)=((2x+5))/(x+7) ?
The inverse of f(x)=((2x+5))/(x+7) is (5-7x)/(x-2)