What is the inverse of f(x)=(2x+3)/(5x-1),x\ne 1/5 ?

The inverse of f(x)=(2x+3)/(5x-1),x\ne 1/5 is (3+x)/(5x-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)/(5x-1),x\ne 1/5

inverse

f (x) = \frac{2 x + 3}{5 x - 1}, x \neq = \frac{1}{5}

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

Solution steps

y = \frac{2 x + 3}{5 x - 1}

Replace

x

with

y

x = \frac{2 y + 3}{5 y - 1}

Solve for

y, x = \frac{2 y + 3}{5 y - 1}

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

f (x) = 3 - e^{2 x}

\frac{1}{200} (x - 40)

x^{2} + 6 x + 7

y = 3^{x - 1} - 3

What is the inverse of f(x)=(2x+3)/(5x-1),x\ne 1/5 ?
The inverse of f(x)=(2x+3)/(5x-1),x\ne 1/5 is (3+x)/(5x-2)