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

The inverse of f(x)=\sqrt[3]{3-x}+10 is -x^3+30x^2-300x+1003

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

inverse

- x^{3} + 30 x^{2} - 300 x + 1003

Solution steps

Replace

x

with

y

Solve for

- x^{3} + 30 x^{2} - 300 x + 1003

f (x) = \frac{- x + 4}{17}

f (x) = 5 e^{x - 5} + 3

f (x) = \frac{2 x ^{3} + 1}{6}

f (x) = 4 x^{2} + 6 x + 2

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

What is the inverse of f(x)=\sqrt[3]{3-x}+10 ?
The inverse of f(x)=\sqrt[3]{3-x}+10 is -x^3+30x^2-300x+1003