What is the inverse of f(x)=x^{1/5}+3 ?

The inverse of f(x)=x^{1/5}+3 is x^5-15x^4+90x^3-270x^2+405x-243

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^{1/5}+3

inverse

f (x) = x^{\frac{1}{5}} + 3

x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243

Solution steps

y = x^{\frac{1}{5}} + 3

Replace

x

with

y

x = y^{\frac{1}{5}} + 3

Solve for

y, x = y^{\frac{1}{5}} + 3

x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243

f (x) = - 16 x^{2} + 48 x + 100

f (x) = \frac{( x ^{- 0.03} - 1 )}{- 0.03}

y - 3 = 3 (x - 6)

f (x) = \frac{- 4 x - 12}{x ^{2} - 9}

x + 33

What is the inverse of f(x)=x^{1/5}+3 ?
The inverse of f(x)=x^{1/5}+3 is x^5-15x^4+90x^3-270x^2+405x-243