What is the inverse of f(x)=\sqrt[3]{8-x}+10 ?

The inverse of f(x)=\sqrt[3]{8-x}+10 is -x^3+30x^2-300x+1008

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inverse of f(x)=\sqrt[3]{8-x}+10

inverse

- x^{3} + 30 x^{2} - 300 x + 1008

Solution steps

Replace

x

with

y

Solve for

- x^{3} + 30 x^{2} - 300 x + 1008

f (x) = \frac{( - 8 x + 7 )}{( - 4 x + 3 )}

14 + 3 x

f (x) = \frac{3 x - 2}{- x - 4}

f (x) = \frac{1}{5} x^{5} - 1

f (x) = \frac{5 x + 2}{2 x - 5}

What is the inverse of f(x)=\sqrt[3]{8-x}+10 ?
The inverse of f(x)=\sqrt[3]{8-x}+10 is -x^3+30x^2-300x+1008