What is the inverse of f(x)=6x^{1/4}+8 ?

The inverse of f(x)=6x^{1/4}+8 is (x^4)/(1296)-(2x^3)/(81)+(8x^2)/(27)-(128x)/(81)+256/81

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=6x^{1/4}+8

inverse

f (x) = 6 x^{\frac{1}{4}} + 8

\frac{x ^{4}}{1296} - \frac{2 x ^{3}}{81} + \frac{8 x ^{2}}{27} - \frac{128 x}{81} + \frac{256}{81}

Solution steps

y = 6 x^{\frac{1}{4}} + 8

Replace

x

with

y

x = 6 y^{\frac{1}{4}} + 8

Solve for

y, x = 6 y^{\frac{1}{4}} + 8

\frac{x ^{4}}{1296} - \frac{2 x ^{3}}{81} + \frac{8 x ^{2}}{27} - \frac{128 x}{81} + \frac{256}{81}

- \frac{x}{x - 8}

(3, - 4), (- 1, 4)

f (x) = sin (π x)

x^{4} - 2 x^{2} + 3

1 - x^{2}

What is the inverse of f(x)=6x^{1/4}+8 ?
The inverse of f(x)=6x^{1/4}+8 is (x^4)/(1296)-(2x^3)/(81)+(8x^2)/(27)-(128x)/(81)+256/81