What is the inverse of f(x)=e^{1-4x^{-3}} ?

The inverse of f(x)=e^{1-4x^{-3}} is -\sqrt[3]{4/(ln(x)-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)=e^{1-4x^{-3}}

inverse

f (x) = e^{1 - 4 x^{- 3}}

Solution steps

y = e^{1 - 4 x^{- 3}}

Replace

x

with

y

x = e^{1 - 4 y^{- 3}}

Solve for

y, x = e^{1 - 4 y^{- 3}}

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

f (x) = \frac{x ^{2} + 1}{x ^{2} + 3}

f (x) = 6 (x - 5)

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

f (x) = \frac{ln ( 3 x )}{8 + ln ( 3 x )}

What is the inverse of f(x)=e^{1-4x^{-3}} ?
The inverse of f(x)=e^{1-4x^{-3}} is -\sqrt[3]{4/(ln(x)-1)}