What is the inverse of f(x)=((2x+3))/(x-5) ?

The inverse of f(x)=((2x+3))/(x-5) is (3+5x)/(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+3))/(x-5)

inverse

f (x) = \frac{( 2 x + 3 )}{x - 5}

\frac{3 + 5 x}{x - 2}

Solution steps

y = \frac{2 x + 3}{x - 5}

Replace

x

with

y

x = \frac{2 y + 3}{y - 5}

Solve for

y, x = \frac{2 y + 3}{y - 5}

\frac{3 + 5 x}{x - 2}

\frac{( x - 5 ) ( x - 3 )}{x + 5}

2 - x + 5

9 - x^{2}, 0 \leq x \leq 3, x = 2

f (x) = x + 4 = x^{2}

f (x) = 5 x - 50

What is the inverse of f(x)=((2x+3))/(x-5) ?
The inverse of f(x)=((2x+3))/(x-5) is (3+5x)/(x-2)