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)

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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

(x - 3)^{3} + 2

x^{2} - 5 x

f (x) = 5 (cos (\frac{x}{6}))

\frac{x ^{3}}{x ^{2} - 4}

f (x) = - 64 x^{3} + 12 x + 4

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)