What is the inverse of f(x)=-4\sqrt[3]{x}-5 ?

The inverse of f(x)=-4\sqrt[3]{x}-5 is -(x^3)/(64)-(15x^2)/(64)-(75x)/(64)-125/64

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inverse of f(x)=-4\sqrt[3]{x}-5

inverse

- \frac{x ^{3}}{64} - \frac{15 x ^{2}}{64} - \frac{75 x}{64} - \frac{125}{64}

Solution steps

y = - 4 3 x - 5

Replace

x

with

y

x = - 4 3 y - 5

Solve for

y, x = - 4 3 y - 5

- \frac{x ^{3}}{64} - \frac{15 x ^{2}}{64} - \frac{75 x}{64} - \frac{125}{64}

What is the inverse of f(x)=-4\sqrt[3]{x}-5 ?
The inverse of f(x)=-4\sqrt[3]{x}-5 is -(x^3)/(64)-(15x^2)/(64)-(75x)/(64)-125/64