What is the inverse of f(x)=ln(3x-8)-ln(x)+2 ?

The inverse of f(x)=ln(3x-8)-ln(x)+2 is -(8e^2)/(e^x-3e^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)=ln(3x-8)-ln(x)+2

inverse

f (x) = ln (3 x - 8) - ln (x) + 2

- \frac{8 e ^{2}}{e ^{x} - 3 e ^{2}}

Solution steps

y = ln (3 x - 8) - ln (x) + 2

Replace

x

with

y

x = ln (3 y - 8) - ln (y) + 2

Solve for

y, x = ln (3 y - 8) - ln (y) + 2

- \frac{8 e ^{2}}{e ^{x} - 3 e ^{2}}

f (x) = \frac{1}{9 - x - 3}

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

x^{2} - 3 x - 4

f (x) = \frac{3 x - 2}{6}

2 x + 11

What is the inverse of f(x)=ln(3x-8)-ln(x)+2 ?
The inverse of f(x)=ln(3x-8)-ln(x)+2 is -(8e^2)/(e^x-3e^2)