What is the inverse of f(x)=x^{2/3}-15 ?

The inverse of f(x)=x^{2/3}-15 is sqrt(x^3+45x^2+675x+3375),-sqrt(x^3+45x^2+675x+3375)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=x^{2/3}-15

inverse

f (x) = x^{\frac{2}{3}} - 15

x^{3} + 45 x^{2} + 675 x + 3375, - x^{3} + 45 x^{2} + 675 x + 3375

Solution steps

y = x^{\frac{2}{3}} - 15

Replace

x

with

y

x = y^{\frac{2}{3}} - 15

Solve for

y, x = y^{\frac{2}{3}} - 15

x^{3} + 45 x^{2} + 675 x + 3375, - x^{3} + 45 x^{2} + 675 x + 3375

What is the inverse of f(x)=x^{2/3}-15 ?
The inverse of f(x)=x^{2/3}-15 is sqrt(x^3+45x^2+675x+3375),-sqrt(x^3+45x^2+675x+3375)