What is the inverse of f(x)=(4x+3)/(2x+5) ?

The inverse of f(x)=(4x+3)/(2x+5) is (3-5x)/(2(-2+x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=(4x+3)/(2x+5)

inverse

f (x) = \frac{4 x + 3}{2 x + 5}

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

Solution steps

y = \frac{4 x + 3}{2 x + 5}

Replace

x

with

y

x = \frac{4 y + 3}{2 y + 5}

Solve for

y, x = \frac{4 y + 3}{2 y + 5}

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

What is the inverse of f(x)=(4x+3)/(2x+5) ?
The inverse of f(x)=(4x+3)/(2x+5) is (3-5x)/(2(-2+x))