What is the inverse of y=\sqrt[3]{x}+8 ?

The inverse of y=\sqrt[3]{x}+8 is x^3-24x^2+192x-512

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inverse of y=\sqrt[3]{x}+8

inverse

x^{3} - 24 x^{2} + 192 x - 512

Solution steps

Replace

x

with

y

Solve for

x^{3} - 24 x^{2} + 192 x - 512

y = x^{\frac{1}{5}} - 3

f (x) = \frac{5 x + 8}{7}

\frac{- 4 x + 7}{5 + 9 x}

y = \frac{9}{5} (4 x + 3)

f (x) = arcsin (- \frac{6 π}{5})

What is the inverse of y=\sqrt[3]{x}+8 ?
The inverse of y=\sqrt[3]{x}+8 is x^3-24x^2+192x-512