What is the inverse of f(x)=3-\sqrt[3]{x-2} ?

The inverse of f(x)=3-\sqrt[3]{x-2} is -x^3+9x^2-27x+29

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=3-\sqrt[3]{x-2}

inverse

f (x) = 3 - 3 x - 2

- x^{3} + 9 x^{2} - 27 x + 29

Solution steps

y = 3 - 3 x - 2

Replace

x

with

y

x = 3 - 3 y - 2

Solve for

y, x = 3 - 3 y - 2

- x^{3} + 9 x^{2} - 27 x + 29

a sy m pt o t es f (x) = \frac{x + 1}{x - 2}

s l o p e y = 4 x - 6

p a r i t y f (x) = \frac{3 x + x ^{3} + 4}{- 5 x ^{3} - 2 x ^{2} + 5}

in v erse f (x) = - \frac{1}{x + 2}

l in e (2, 11), (- 1, 2)

What is the inverse of f(x)=3-\sqrt[3]{x-2} ?
The inverse of f(x)=3-\sqrt[3]{x-2} is -x^3+9x^2-27x+29