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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

\frac{x ^{2} + 2 x - 3}{x + 1}

y = 1 - lo g_{2} (x - 1)

f (7) = - 5 x + 2

- \frac{7}{1 + x ^{2}}

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