What is the inverse of y=\sqrt[3]{x}-5 ?

The inverse of y=\sqrt[3]{x}-5 is x^3+15x^2+75x+125

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inverse of y=\sqrt[3]{x}-5

inverse

y = 3 x - 5

x^{3} + 15 x^{2} + 75 x + 125

Solution steps

y = 3 x - 5

Replace

x

with

y

x = 3 y - 5

Solve for

y, x = 3 y - 5

x^{3} + 15 x^{2} + 75 x + 125

5 - 2 lo g_{a} (3 x + 1)

+ zz

2 - \frac{1}{x + 1}

f (x) = - \frac{1}{2} y

e^{3 \frac{x}{2}}

What is the inverse of y=\sqrt[3]{x}-5 ?
The inverse of y=\sqrt[3]{x}-5 is x^3+15x^2+75x+125