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

The inverse of f(x)=((x-4)^7)/3 is \sqrt[7]{3}\sqrt[7]{x}+4

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-4)^7)/3

inverse

f (x) = \frac{( x - 4 ) ^{7}}{3}

Solution steps

y = \frac{( x - 4 ) ^{7}}{3}

Replace

x

with

y

x = \frac{( y - 4 ) ^{7}}{3}

Solve for

y, x = \frac{( y - 4 ) ^{7}}{3}

\frac{4 x}{x ^{2} + 4}

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

y = - \frac{5 ^{x}}{2}

f (x) = 5 + 4 + x

f (x) = ln (\frac{x + 4}{x})

What is the inverse of f(x)=((x-4)^7)/3 ?
The inverse of f(x)=((x-4)^7)/3 is \sqrt[7]{3}\sqrt[7]{x}+4