What is the inverse of f(x)= x/(e^3)+e^4x+e ?

The inverse of f(x)= x/(e^3)+e^4x+e is (e^3x-e^4)/(1+e^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)= x/(e^3)+e^4x+e

inverse

f (x) = \frac{x}{e ^{3}} + e^{4} x + e

\frac{e ^{3} x - e ^{4}}{1 + e ^{7}}

Solution steps

y = \frac{x}{e ^{3}} + e^{4} x + e

Replace

x

with

y

x = \frac{y}{e ^{3}} + e^{4} y + e

Solve for

y, x = \frac{y}{e ^{3}} + e^{4} y + e

\frac{e ^{3} x - e ^{4}}{1 + e ^{7}}

What is the inverse of f(x)= x/(e^3)+e^4x+e ?
The inverse of f(x)= x/(e^3)+e^4x+e is (e^3x-e^4)/(1+e^7)