What is the inverse of f(x)=(x+2)^{2/3}-4 ?

The inverse of f(x)=(x+2)^{2/3}-4 is sqrt(x^3+12x^2+48x+64)-2,-sqrt(x^3+12x^2+48x+64)-2

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+2)^{2/3}-4

inverse

f (x) = (x + 2)^{\frac{2}{3}} - 4

x^{3} + 12 x^{2} + 48 x + 64 - 2, - x^{3} + 12 x^{2} + 48 x + 64 - 2

Solution steps

y = (x + 2)^{\frac{2}{3}} - 4

Replace

x

with

y

x = (y + 2)^{\frac{2}{3}} - 4

Solve for

y, x = (y + 2)^{\frac{2}{3}} - 4

x^{3} + 12 x^{2} + 48 x + 64 - 2, - x^{3} + 12 x^{2} + 48 x + 64 - 2

ln (\frac{x + 3}{2 - x})

f (x) = 1

f (x) = 2 x + 7

f (x) = \frac{x ^{2} - 25}{x - 5}

What is the inverse of f(x)=(x+2)^{2/3}-4 ?
The inverse of f(x)=(x+2)^{2/3}-4 is sqrt(x^3+12x^2+48x+64)-2,-sqrt(x^3+12x^2+48x+64)-2